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Finding the Fourth Proportional to 167.69, 249.80 and 158.38

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Solution

The fourth proportional to 167.69, 249.80 and 158.38 is: 235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.69 : 249.80 = 158.38 : x
  2. Step 2: Convert to fraction form
    167.69/249.80 = 158.38/x
  3. Step 3: Cross multiply
    167.69x = 249.80 × 158.38
  4. Step 4: Simplify right side
    167.69x = 39,561.91
  5. Step 5: Solve for x
    x = 39,561.91/167.69
  6. Step 6: Final answer
    x = 235.92

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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.