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Finding the Fourth Proportional to 252.59, 378.98 and 113.74

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Solution

The fourth proportional to 252.59, 378.98 and 113.74 is: 170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.59 : 378.98 = 113.74 : x
  2. Step 2: Convert to fraction form
    252.59/378.98 = 113.74/x
  3. Step 3: Cross multiply
    252.59x = 378.98 × 113.74
  4. Step 4: Simplify right side
    252.59x = 43,104.10
  5. Step 5: Solve for x
    x = 43,104.10/252.59
  6. Step 6: Final answer
    x = 170.65

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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.