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Finding the Fourth Proportional to 169.27, 233.22 and 151.72

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Solution

The fourth proportional to 169.27, 233.22 and 151.72 is: 209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.27 : 233.22 = 151.72 : x
  2. Step 2: Convert to fraction form
    169.27/233.22 = 151.72/x
  3. Step 3: Cross multiply
    169.27x = 233.22 × 151.72
  4. Step 4: Simplify right side
    169.27x = 35,384.14
  5. Step 5: Solve for x
    x = 35,384.14/169.27
  6. Step 6: Final answer
    x = 209.04

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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.