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Finding the Fourth Proportional to 167.85, 249.93 and 152.73

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Solution

The fourth proportional to 167.85, 249.93 and 152.73 is: 227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.85 : 249.93 = 152.73 : x
  2. Step 2: Convert to fraction form
    167.85/249.93 = 152.73/x
  3. Step 3: Cross multiply
    167.85x = 249.93 × 152.73
  4. Step 4: Simplify right side
    167.85x = 38,171.81
  5. Step 5: Solve for x
    x = 38,171.81/167.85
  6. Step 6: Final answer
    x = 227.42

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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.