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Finding the Fourth Proportional to 174.29, 240.17 and 134.96

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Solution

The fourth proportional to 174.29, 240.17 and 134.96 is: 185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.29 : 240.17 = 134.96 : x
  2. Step 2: Convert to fraction form
    174.29/240.17 = 134.96/x
  3. Step 3: Cross multiply
    174.29x = 240.17 × 134.96
  4. Step 4: Simplify right side
    174.29x = 32,411.47
  5. Step 5: Solve for x
    x = 32,411.47/174.29
  6. Step 6: Final answer
    x = 185.96

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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.