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Finding the Fourth Proportional to 410.95, 616.68 and 167.44

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Solution

The fourth proportional to 410.95, 616.68 and 167.44 is: 251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.95 : 616.68 = 167.44 : x
  2. Step 2: Convert to fraction form
    410.95/616.68 = 167.44/x
  3. Step 3: Cross multiply
    410.95x = 616.68 × 167.44
  4. Step 4: Simplify right side
    410.95x = 103,256.90
  5. Step 5: Solve for x
    x = 103,256.90/410.95
  6. Step 6: Final answer
    x = 251.26

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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.