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Finding the Fourth Proportional to 249.81, 375.02 and 166.49

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Solution

The fourth proportional to 249.81, 375.02 and 166.49 is: 249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.81 : 375.02 = 166.49 : x
  2. Step 2: Convert to fraction form
    249.81/375.02 = 166.49/x
  3. Step 3: Cross multiply
    249.81x = 375.02 × 166.49
  4. Step 4: Simplify right side
    249.81x = 62,437.93
  5. Step 5: Solve for x
    x = 62,437.93/249.81
  6. Step 6: Final answer
    x = 249.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.