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Finding the Fourth Proportional to 169.16, 252.33 and 150.92

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Solution

The fourth proportional to 169.16, 252.33 and 150.92 is: 225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.16 : 252.33 = 150.92 : x
  2. Step 2: Convert to fraction form
    169.16/252.33 = 150.92/x
  3. Step 3: Cross multiply
    169.16x = 252.33 × 150.92
  4. Step 4: Simplify right side
    169.16x = 38,081.64
  5. Step 5: Solve for x
    x = 38,081.64/169.16
  6. Step 6: Final answer
    x = 225.12

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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.