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Finding the Fourth Proportional to 180.65, 249.29 and 106.97

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Solution

The fourth proportional to 180.65, 249.29 and 106.97 is: 147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.65 : 249.29 = 106.97 : x
  2. Step 2: Convert to fraction form
    180.65/249.29 = 106.97/x
  3. Step 3: Cross multiply
    180.65x = 249.29 × 106.97
  4. Step 4: Simplify right side
    180.65x = 26,667.18
  5. Step 5: Solve for x
    x = 26,667.18/180.65
  6. Step 6: Final answer
    x = 147.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.