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Finding the Fourth Proportional to 167.10, 250.57 and 75.84

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Solution

The fourth proportional to 167.10, 250.57 and 75.84 is: 113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.10 : 250.57 = 75.84 : x
  2. Step 2: Convert to fraction form
    167.10/250.57 = 75.84/x
  3. Step 3: Cross multiply
    167.10x = 250.57 × 75.84
  4. Step 4: Simplify right side
    167.10x = 19,003.23
  5. Step 5: Solve for x
    x = 19,003.23/167.10
  6. Step 6: Final answer
    x = 113.72

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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.