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Finding the Fourth Proportional to 242.62, 363.42 and 146.38

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Solution

The fourth proportional to 242.62, 363.42 and 146.38 is: 219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.62 : 363.42 = 146.38 : x
  2. Step 2: Convert to fraction form
    242.62/363.42 = 146.38/x
  3. Step 3: Cross multiply
    242.62x = 363.42 × 146.38
  4. Step 4: Simplify right side
    242.62x = 53,197.42
  5. Step 5: Solve for x
    x = 53,197.42/242.62
  6. Step 6: Final answer
    x = 219.26

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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.