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Finding the Fourth Proportional to 242.13, 363.26 and 79.83

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Solution

The fourth proportional to 242.13, 363.26 and 79.83 is: 119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.13 : 363.26 = 79.83 : x
  2. Step 2: Convert to fraction form
    242.13/363.26 = 79.83/x
  3. Step 3: Cross multiply
    242.13x = 363.26 × 79.83
  4. Step 4: Simplify right side
    242.13x = 28,998.65
  5. Step 5: Solve for x
    x = 28,998.65/242.13
  6. Step 6: Final answer
    x = 119.76

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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.