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Finding the Fourth Proportional to 242.43, 363.65 and 59.83

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Solution

The fourth proportional to 242.43, 363.65 and 59.83 is: 89.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.43 : 363.65 = 59.83 : x
  2. Step 2: Convert to fraction form
    242.43/363.65 = 59.83/x
  3. Step 3: Cross multiply
    242.43x = 363.65 × 59.83
  4. Step 4: Simplify right side
    242.43x = 21,756.65
  5. Step 5: Solve for x
    x = 21,756.65/242.43
  6. Step 6: Final answer
    x = 89.74

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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.