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Finding the Fourth Proportional to 167.87, 251.80 and 46.14

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Solution

The fourth proportional to 167.87, 251.80 and 46.14 is: 69.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.87 : 251.80 = 46.14 : x
  2. Step 2: Convert to fraction form
    167.87/251.80 = 46.14/x
  3. Step 3: Cross multiply
    167.87x = 251.80 × 46.14
  4. Step 4: Simplify right side
    167.87x = 11,618.05
  5. Step 5: Solve for x
    x = 11,618.05/167.87
  6. Step 6: Final answer
    x = 69.21

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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.