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Finding the Fourth Proportional to 402.06, 603.02 and 113.52

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Solution

The fourth proportional to 402.06, 603.02 and 113.52 is: 170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.06 : 603.02 = 113.52 : x
  2. Step 2: Convert to fraction form
    402.06/603.02 = 113.52/x
  3. Step 3: Cross multiply
    402.06x = 603.02 × 113.52
  4. Step 4: Simplify right side
    402.06x = 68,454.83
  5. Step 5: Solve for x
    x = 68,454.83/402.06
  6. Step 6: Final answer
    x = 170.26

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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.