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Finding the Fourth Proportional to 402.74, 603.94 and 125.06

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Solution

The fourth proportional to 402.74, 603.94 and 125.06 is: 187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.74 : 603.94 = 125.06 : x
  2. Step 2: Convert to fraction form
    402.74/603.94 = 125.06/x
  3. Step 3: Cross multiply
    402.74x = 603.94 × 125.06
  4. Step 4: Simplify right side
    402.74x = 75,528.74
  5. Step 5: Solve for x
    x = 75,528.74/402.74
  6. Step 6: Final answer
    x = 187.54

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Why These Related Problems?

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