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Finding the Fourth Proportional to 205.60, 308.18 and 83.82

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Solution

The fourth proportional to 205.60, 308.18 and 83.82 is: 125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.60 : 308.18 = 83.82 : x
  2. Step 2: Convert to fraction form
    205.60/308.18 = 83.82/x
  3. Step 3: Cross multiply
    205.60x = 308.18 × 83.82
  4. Step 4: Simplify right side
    205.60x = 25,831.65
  5. Step 5: Solve for x
    x = 25,831.65/205.60
  6. Step 6: Final answer
    x = 125.64

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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.