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Finding the Fourth Proportional to 402.14, 603.03 and 124.41

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Solution

The fourth proportional to 402.14, 603.03 and 124.41 is: 186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.14 : 603.03 = 124.41 : x
  2. Step 2: Convert to fraction form
    402.14/603.03 = 124.41/x
  3. Step 3: Cross multiply
    402.14x = 603.03 × 124.41
  4. Step 4: Simplify right side
    402.14x = 75,022.96
  5. Step 5: Solve for x
    x = 75,022.96/402.14
  6. Step 6: Final answer
    x = 186.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.