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Finding the Fourth Proportional to 180.65, 249.28 and 101.98

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Solution

The fourth proportional to 180.65, 249.28 and 101.98 is: 140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.65 : 249.28 = 101.98 : x
  2. Step 2: Convert to fraction form
    180.65/249.28 = 101.98/x
  3. Step 3: Cross multiply
    180.65x = 249.28 × 101.98
  4. Step 4: Simplify right side
    180.65x = 25,420.80
  5. Step 5: Solve for x
    x = 25,420.80/180.65
  6. Step 6: Final answer
    x = 140.72

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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.