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Finding the Fourth Proportional to 240.31, 331.65 and 147.04

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Solution

The fourth proportional to 240.31, 331.65 and 147.04 is: 202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.31 : 331.65 = 147.04 : x
  2. Step 2: Convert to fraction form
    240.31/331.65 = 147.04/x
  3. Step 3: Cross multiply
    240.31x = 331.65 × 147.04
  4. Step 4: Simplify right side
    240.31x = 48,764.99
  5. Step 5: Solve for x
    x = 48,764.99/240.31
  6. Step 6: Final answer
    x = 202.92

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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.