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Finding the Fourth Proportional to 242.92, 363.04 and 217.54

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Solution

The fourth proportional to 242.92, 363.04 and 217.54 is: 325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.92 : 363.04 = 217.54 : x
  2. Step 2: Convert to fraction form
    242.92/363.04 = 217.54/x
  3. Step 3: Cross multiply
    242.92x = 363.04 × 217.54
  4. Step 4: Simplify right side
    242.92x = 78,975.72
  5. Step 5: Solve for x
    x = 78,975.72/242.92
  6. Step 6: Final answer
    x = 325.11

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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.