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Finding the Fourth Proportional to 578.61, 867.75 and 167.78

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Solution

The fourth proportional to 578.61, 867.75 and 167.78 is: 251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.61 : 867.75 = 167.78 : x
  2. Step 2: Convert to fraction form
    578.61/867.75 = 167.78/x
  3. Step 3: Cross multiply
    578.61x = 867.75 × 167.78
  4. Step 4: Simplify right side
    578.61x = 145,586.76
  5. Step 5: Solve for x
    x = 145,586.76/578.61
  6. Step 6: Final answer
    x = 251.61

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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.