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Finding the Fourth Proportional to 330.46, 456.05 and 183.10

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Solution

The fourth proportional to 330.46, 456.05 and 183.10 is: 252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.46 : 456.05 = 183.10 : x
  2. Step 2: Convert to fraction form
    330.46/456.05 = 183.10/x
  3. Step 3: Cross multiply
    330.46x = 456.05 × 183.10
  4. Step 4: Simplify right side
    330.46x = 83,501.84
  5. Step 5: Solve for x
    x = 83,501.84/330.46
  6. Step 6: Final answer
    x = 252.68

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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.