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Finding the Fourth Proportional to 242.58, 363.33 and 150.78

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Solution

The fourth proportional to 242.58, 363.33 and 150.78 is: 225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.58 : 363.33 = 150.78 : x
  2. Step 2: Convert to fraction form
    242.58/363.33 = 150.78/x
  3. Step 3: Cross multiply
    242.58x = 363.33 × 150.78
  4. Step 4: Simplify right side
    242.58x = 54,782.90
  5. Step 5: Solve for x
    x = 54,782.90/242.58
  6. Step 6: Final answer
    x = 225.83

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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.