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Finding the Fourth Proportional to 240.46, 330.66 and 214.30

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Solution

The fourth proportional to 240.46, 330.66 and 214.30 is: 294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.46 : 330.66 = 214.30 : x
  2. Step 2: Convert to fraction form
    240.46/330.66 = 214.30/x
  3. Step 3: Cross multiply
    240.46x = 330.66 × 214.30
  4. Step 4: Simplify right side
    240.46x = 70,860.44
  5. Step 5: Solve for x
    x = 70,860.44/240.46
  6. Step 6: Final answer
    x = 294.69

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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.