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Finding the Fourth Proportional to 204.86, 307.31 and 83.16

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Solution

The fourth proportional to 204.86, 307.31 and 83.16 is: 124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.86 : 307.31 = 83.16 : x
  2. Step 2: Convert to fraction form
    204.86/307.31 = 83.16/x
  3. Step 3: Cross multiply
    204.86x = 307.31 × 83.16
  4. Step 4: Simplify right side
    204.86x = 25,554.96
  5. Step 5: Solve for x
    x = 25,554.96/204.86
  6. Step 6: Final answer
    x = 124.74

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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.