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Finding the Fourth Proportional to 180.86, 249.62 and 102.21

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Solution

The fourth proportional to 180.86, 249.62 and 102.21 is: 141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.86 : 249.62 = 102.21 : x
  2. Step 2: Convert to fraction form
    180.86/249.62 = 102.21/x
  3. Step 3: Cross multiply
    180.86x = 249.62 × 102.21
  4. Step 4: Simplify right side
    180.86x = 25,513.15
  5. Step 5: Solve for x
    x = 25,513.15/180.86
  6. Step 6: Final answer
    x = 141.06

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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.