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Finding the Fourth Proportional to 167.06, 249.30 and 151.76

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Solution

The fourth proportional to 167.06, 249.30 and 151.76 is: 226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.06 : 249.30 = 151.76 : x
  2. Step 2: Convert to fraction form
    167.06/249.30 = 151.76/x
  3. Step 3: Cross multiply
    167.06x = 249.30 × 151.76
  4. Step 4: Simplify right side
    167.06x = 37,833.77
  5. Step 5: Solve for x
    x = 37,833.77/167.06
  6. Step 6: Final answer
    x = 226.47

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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.