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Finding the Fourth Proportional to 167.58, 250.07 and 149.42

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Solution

The fourth proportional to 167.58, 250.07 and 149.42 is: 222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.58 : 250.07 = 149.42 : x
  2. Step 2: Convert to fraction form
    167.58/250.07 = 149.42/x
  3. Step 3: Cross multiply
    167.58x = 250.07 × 149.42
  4. Step 4: Simplify right side
    167.58x = 37,364.71
  5. Step 5: Solve for x
    x = 37,364.71/167.58
  6. Step 6: Final answer
    x = 222.97

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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.