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Finding the Fourth Proportional to 161.12, 243.14 and 149.24

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Solution

The fourth proportional to 161.12, 243.14 and 149.24 is: 225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.12 : 243.14 = 149.24 : x
  2. Step 2: Convert to fraction form
    161.12/243.14 = 149.24/x
  3. Step 3: Cross multiply
    161.12x = 243.14 × 149.24
  4. Step 4: Simplify right side
    161.12x = 36,286.21
  5. Step 5: Solve for x
    x = 36,286.21/161.12
  6. Step 6: Final answer
    x = 225.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.