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Finding the Fourth Proportional to 330.75, 456.57 and 214.65

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Solution

The fourth proportional to 330.75, 456.57 and 214.65 is: 296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.75 : 456.57 = 214.65 : x
  2. Step 2: Convert to fraction form
    330.75/456.57 = 214.65/x
  3. Step 3: Cross multiply
    330.75x = 456.57 × 214.65
  4. Step 4: Simplify right side
    330.75x = 98,002.75
  5. Step 5: Solve for x
    x = 98,002.75/330.75
  6. Step 6: Final answer
    x = 296.30

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Find fourth proportional to 165.38, 228.29 and 107.33
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.