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Finding the Fourth Proportional to 242.57, 363.66 and 165.34

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Solution

The fourth proportional to 242.57, 363.66 and 165.34 is: 247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.57 : 363.66 = 165.34 : x
  2. Step 2: Convert to fraction form
    242.57/363.66 = 165.34/x
  3. Step 3: Cross multiply
    242.57x = 363.66 × 165.34
  4. Step 4: Simplify right side
    242.57x = 60,128.77
  5. Step 5: Solve for x
    x = 60,128.77/242.57
  6. Step 6: Final answer
    x = 247.88

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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.