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Finding the Fourth Proportional to 180.96, 249.73 and 102.29

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Solution

The fourth proportional to 180.96, 249.73 and 102.29 is: 141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.96 : 249.73 = 102.29 : x
  2. Step 2: Convert to fraction form
    180.96/249.73 = 102.29/x
  3. Step 3: Cross multiply
    180.96x = 249.73 × 102.29
  4. Step 4: Simplify right side
    180.96x = 25,543.75
  5. Step 5: Solve for x
    x = 25,543.75/180.96
  6. Step 6: Final answer
    x = 141.16

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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.