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Finding the Fourth Proportional to 410.78, 616.26 and 167.30

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Solution

The fourth proportional to 410.78, 616.26 and 167.30 is: 250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.78 : 616.26 = 167.30 : x
  2. Step 2: Convert to fraction form
    410.78/616.26 = 167.30/x
  3. Step 3: Cross multiply
    410.78x = 616.26 × 167.30
  4. Step 4: Simplify right side
    410.78x = 103,097.22
  5. Step 5: Solve for x
    x = 103,097.22/410.78
  6. Step 6: Final answer
    x = 250.98

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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.