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Finding the Fourth Proportional to 169.29, 252.72 and 157.14

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Solution

The fourth proportional to 169.29, 252.72 and 157.14 is: 234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.29 : 252.72 = 157.14 : x
  2. Step 2: Convert to fraction form
    169.29/252.72 = 157.14/x
  3. Step 3: Cross multiply
    169.29x = 252.72 × 157.14
  4. Step 4: Simplify right side
    169.29x = 39,712.42
  5. Step 5: Solve for x
    x = 39,712.42/169.29
  6. Step 6: Final answer
    x = 234.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.