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Finding the Fourth Proportional to 167.97, 250.47 and 156.42

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Solution

The fourth proportional to 167.97, 250.47 and 156.42 is: 233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.97 : 250.47 = 156.42 : x
  2. Step 2: Convert to fraction form
    167.97/250.47 = 156.42/x
  3. Step 3: Cross multiply
    167.97x = 250.47 × 156.42
  4. Step 4: Simplify right side
    167.97x = 39,178.52
  5. Step 5: Solve for x
    x = 39,178.52/167.97
  6. Step 6: Final answer
    x = 233.25

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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.