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Finding the Fourth Proportional to 516.78, 775.10 and 151.57

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Solution

The fourth proportional to 516.78, 775.10 and 151.57 is: 227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.78 : 775.10 = 151.57 : x
  2. Step 2: Convert to fraction form
    516.78/775.10 = 151.57/x
  3. Step 3: Cross multiply
    516.78x = 775.10 × 151.57
  4. Step 4: Simplify right side
    516.78x = 117,483.25
  5. Step 5: Solve for x
    x = 117,483.25/516.78
  6. Step 6: Final answer
    x = 227.34

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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.