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Finding the Fourth Proportional to 242.34, 363.72 and 161.28

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Solution

The fourth proportional to 242.34, 363.72 and 161.28 is: 242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.34 : 363.72 = 161.28 : x
  2. Step 2: Convert to fraction form
    242.34/363.72 = 161.28/x
  3. Step 3: Cross multiply
    242.34x = 363.72 × 161.28
  4. Step 4: Simplify right side
    242.34x = 58,660.76
  5. Step 5: Solve for x
    x = 58,660.76/242.34
  6. Step 6: Final answer
    x = 242.06

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Why These Related Problems?

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