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Finding the Fourth Proportional to 578.08, 867.24 and 167.22

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Solution

The fourth proportional to 578.08, 867.24 and 167.22 is: 250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.08 : 867.24 = 167.22 : x
  2. Step 2: Convert to fraction form
    578.08/867.24 = 167.22/x
  3. Step 3: Cross multiply
    578.08x = 867.24 × 167.22
  4. Step 4: Simplify right side
    578.08x = 145,019.87
  5. Step 5: Solve for x
    x = 145,019.87/578.08
  6. Step 6: Final answer
    x = 250.86

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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.