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Finding the Fourth Proportional to 167.92, 250.50 and 156.28

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Solution

The fourth proportional to 167.92, 250.50 and 156.28 is: 233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.92 : 250.50 = 156.28 : x
  2. Step 2: Convert to fraction form
    167.92/250.50 = 156.28/x
  3. Step 3: Cross multiply
    167.92x = 250.50 × 156.28
  4. Step 4: Simplify right side
    167.92x = 39,148.14
  5. Step 5: Solve for x
    x = 39,148.14/167.92
  6. Step 6: Final answer
    x = 233.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.