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Finding the Fourth Proportional to 205.86, 308.18 and 124.86

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Solution

The fourth proportional to 205.86, 308.18 and 124.86 is: 186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.86 : 308.18 = 124.86 : x
  2. Step 2: Convert to fraction form
    205.86/308.18 = 124.86/x
  3. Step 3: Cross multiply
    205.86x = 308.18 × 124.86
  4. Step 4: Simplify right side
    205.86x = 38,479.35
  5. Step 5: Solve for x
    x = 38,479.35/205.86
  6. Step 6: Final answer
    x = 186.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.