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Finding the Fourth Proportional to 167.17, 250.80 and 106.22

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Solution

The fourth proportional to 167.17, 250.80 and 106.22 is: 159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.17 : 250.80 = 106.22 : x
  2. Step 2: Convert to fraction form
    167.17/250.80 = 106.22/x
  3. Step 3: Cross multiply
    167.17x = 250.80 × 106.22
  4. Step 4: Simplify right side
    167.17x = 26,639.98
  5. Step 5: Solve for x
    x = 26,639.98/167.17
  6. Step 6: Final answer
    x = 159.36

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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.