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Finding the Fourth Proportional to 242.33, 363.50 and 205.42

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Solution

The fourth proportional to 242.33, 363.50 and 205.42 is: 308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.33 : 363.50 = 205.42 : x
  2. Step 2: Convert to fraction form
    242.33/363.50 = 205.42/x
  3. Step 3: Cross multiply
    242.33x = 363.50 × 205.42
  4. Step 4: Simplify right side
    242.33x = 74,669.14
  5. Step 5: Solve for x
    x = 74,669.14/242.33
  6. Step 6: Final answer
    x = 308.13

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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.