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Finding the Fourth Proportional to 516.38, 774.70 and 187.45

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Solution

The fourth proportional to 516.38, 774.70 and 187.45 is: 281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.38 : 774.70 = 187.45 : x
  2. Step 2: Convert to fraction form
    516.38/774.70 = 187.45/x
  3. Step 3: Cross multiply
    516.38x = 774.70 × 187.45
  4. Step 4: Simplify right side
    516.38x = 145,215.11
  5. Step 5: Solve for x
    x = 145,215.11/516.38
  6. Step 6: Final answer
    x = 281.22

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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.