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Finding the Fourth Proportional to 169.56, 252.32 and 169.29

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Solution

The fourth proportional to 169.56, 252.32 and 169.29 is: 251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.56 : 252.32 = 169.29 : x
  2. Step 2: Convert to fraction form
    169.56/252.32 = 169.29/x
  3. Step 3: Cross multiply
    169.56x = 252.32 × 169.29
  4. Step 4: Simplify right side
    169.56x = 42,714.41
  5. Step 5: Solve for x
    x = 42,714.41/169.56
  6. Step 6: Final answer
    x = 251.91

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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.