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Finding the Fourth Proportional to 516.18, 773.48 and 242.16

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Solution

The fourth proportional to 516.18, 773.48 and 242.16 is: 362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.18 : 773.48 = 242.16 : x
  2. Step 2: Convert to fraction form
    516.18/773.48 = 242.16/x
  3. Step 3: Cross multiply
    516.18x = 773.48 × 242.16
  4. Step 4: Simplify right side
    516.18x = 187,305.92
  5. Step 5: Solve for x
    x = 187,305.92/516.18
  6. Step 6: Final answer
    x = 362.87

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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.