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Finding the Fourth Proportional to 578.82, 868.36 and 167.98

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Solution

The fourth proportional to 578.82, 868.36 and 167.98 is: 252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.82 : 868.36 = 167.98 : x
  2. Step 2: Convert to fraction form
    578.82/868.36 = 167.98/x
  3. Step 3: Cross multiply
    578.82x = 868.36 × 167.98
  4. Step 4: Simplify right side
    578.82x = 145,862.77
  5. Step 5: Solve for x
    x = 145,862.77/578.82
  6. Step 6: Final answer
    x = 252.00

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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.