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Finding the Fourth Proportional to 167.48, 251.33 and 64.78

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Solution

The fourth proportional to 167.48, 251.33 and 64.78 is: 97.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.48 : 251.33 = 64.78 : x
  2. Step 2: Convert to fraction form
    167.48/251.33 = 64.78/x
  3. Step 3: Cross multiply
    167.48x = 251.33 × 64.78
  4. Step 4: Simplify right side
    167.48x = 16,280.21
  5. Step 5: Solve for x
    x = 16,280.21/167.48
  6. Step 6: Final answer
    x = 97.21

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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.