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Finding the Fourth Proportional to 578.71, 868.20 and 167.84

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Solution

The fourth proportional to 578.71, 868.20 and 167.84 is: 251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.71 : 868.20 = 167.84 : x
  2. Step 2: Convert to fraction form
    578.71/868.20 = 167.84/x
  3. Step 3: Cross multiply
    578.71x = 868.20 × 167.84
  4. Step 4: Simplify right side
    578.71x = 145,718.69
  5. Step 5: Solve for x
    x = 145,718.69/578.71
  6. Step 6: Final answer
    x = 251.80

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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.