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Finding the Fourth Proportional to 169.31, 252.52 and 157.77

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Solution

The fourth proportional to 169.31, 252.52 and 157.77 is: 235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.31 : 252.52 = 157.77 : x
  2. Step 2: Convert to fraction form
    169.31/252.52 = 157.77/x
  3. Step 3: Cross multiply
    169.31x = 252.52 × 157.77
  4. Step 4: Simplify right side
    169.31x = 39,839.69
  5. Step 5: Solve for x
    x = 39,839.69/169.31
  6. Step 6: Final answer
    x = 235.30

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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.