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Finding the Fourth Proportional to 161.52, 242.15 and 148.71

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Solution

The fourth proportional to 161.52, 242.15 and 148.71 is: 222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.52 : 242.15 = 148.71 : x
  2. Step 2: Convert to fraction form
    161.52/242.15 = 148.71/x
  3. Step 3: Cross multiply
    161.52x = 242.15 × 148.71
  4. Step 4: Simplify right side
    161.52x = 36,008.47
  5. Step 5: Solve for x
    x = 36,008.47/161.52
  6. Step 6: Final answer
    x = 222.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.