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Finding the Fourth Proportional to 204.64, 306.71 and 82.84

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Solution

The fourth proportional to 204.64, 306.71 and 82.84 is: 124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.64 : 306.71 = 82.84 : x
  2. Step 2: Convert to fraction form
    204.64/306.71 = 82.84/x
  3. Step 3: Cross multiply
    204.64x = 306.71 × 82.84
  4. Step 4: Simplify right side
    204.64x = 25,407.86
  5. Step 5: Solve for x
    x = 25,407.86/204.64
  6. Step 6: Final answer
    x = 124.16

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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.