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Finding the Fourth Proportional to 410.63, 616.37 and 167.31

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Solution

The fourth proportional to 410.63, 616.37 and 167.31 is: 251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.63 : 616.37 = 167.31 : x
  2. Step 2: Convert to fraction form
    410.63/616.37 = 167.31/x
  3. Step 3: Cross multiply
    410.63x = 616.37 × 167.31
  4. Step 4: Simplify right side
    410.63x = 103,124.03
  5. Step 5: Solve for x
    x = 103,124.03/410.63
  6. Step 6: Final answer
    x = 251.14

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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.