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Finding the Fourth Proportional to 180.69, 249.30 and 102.00

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Solution

The fourth proportional to 180.69, 249.30 and 102.00 is: 140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.69 : 249.30 = 102.00 : x
  2. Step 2: Convert to fraction form
    180.69/249.30 = 102.00/x
  3. Step 3: Cross multiply
    180.69x = 249.30 × 102.00
  4. Step 4: Simplify right side
    180.69x = 25,428.13
  5. Step 5: Solve for x
    x = 25,428.13/180.69
  6. Step 6: Final answer
    x = 140.73

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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.