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Finding the Fourth Proportional to 578.25, 867.22 and 167.29

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Solution

The fourth proportional to 578.25, 867.22 and 167.29 is: 250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.25 : 867.22 = 167.29 : x
  2. Step 2: Convert to fraction form
    578.25/867.22 = 167.29/x
  3. Step 3: Cross multiply
    578.25x = 867.22 × 167.29
  4. Step 4: Simplify right side
    578.25x = 145,077.23
  5. Step 5: Solve for x
    x = 145,077.23/578.25
  6. Step 6: Final answer
    x = 250.89

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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.