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Finding the Fourth Proportional to 578.31, 867.61 and 167.43

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Solution

The fourth proportional to 578.31, 867.61 and 167.43 is: 251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.31 : 867.61 = 167.43 : x
  2. Step 2: Convert to fraction form
    578.31/867.61 = 167.43/x
  3. Step 3: Cross multiply
    578.31x = 867.61 × 167.43
  4. Step 4: Simplify right side
    578.31x = 145,267.41
  5. Step 5: Solve for x
    x = 145,267.41/578.31
  6. Step 6: Final answer
    x = 251.19

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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.