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Finding the Fourth Proportional to 218.43, 300.92 and 180.86

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Solution

The fourth proportional to 218.43, 300.92 and 180.86 is: 249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.43 : 300.92 = 180.86 : x
  2. Step 2: Convert to fraction form
    218.43/300.92 = 180.86/x
  3. Step 3: Cross multiply
    218.43x = 300.92 × 180.86
  4. Step 4: Simplify right side
    218.43x = 54,421.98
  5. Step 5: Solve for x
    x = 54,421.98/218.43
  6. Step 6: Final answer
    x = 249.15

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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.