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Finding the Fourth Proportional to 204.86, 306.95 and 96.58

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Solution

The fourth proportional to 204.86, 306.95 and 96.58 is: 144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.86 : 306.95 = 96.58 : x
  2. Step 2: Convert to fraction form
    204.86/306.95 = 96.58/x
  3. Step 3: Cross multiply
    204.86x = 306.95 × 96.58
  4. Step 4: Simplify right side
    204.86x = 29,645.23
  5. Step 5: Solve for x
    x = 29,645.23/204.86
  6. Step 6: Final answer
    x = 144.71

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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.