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Finding the Fourth Proportional to 161.52, 240.92 and 149.32

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Solution

The fourth proportional to 161.52, 240.92 and 149.32 is: 222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.52 : 240.92 = 149.32 : x
  2. Step 2: Convert to fraction form
    161.52/240.92 = 149.32/x
  3. Step 3: Cross multiply
    161.52x = 240.92 × 149.32
  4. Step 4: Simplify right side
    161.52x = 35,974.17
  5. Step 5: Solve for x
    x = 35,974.17/161.52
  6. Step 6: Final answer
    x = 222.72

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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.