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Finding the Fourth Proportional to 180.83, 249.57 and 102.14

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Solution

The fourth proportional to 180.83, 249.57 and 102.14 is: 140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.83 : 249.57 = 102.14 : x
  2. Step 2: Convert to fraction form
    180.83/249.57 = 102.14/x
  3. Step 3: Cross multiply
    180.83x = 249.57 × 102.14
  4. Step 4: Simplify right side
    180.83x = 25,491.50
  5. Step 5: Solve for x
    x = 25,491.50/180.83
  6. Step 6: Final answer
    x = 140.97

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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.