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Finding the Fourth Proportional to 205.38, 308.04 and 97.11

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Solution

The fourth proportional to 205.38, 308.04 and 97.11 is: 145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 308.04 = 97.11 : x
  2. Step 2: Convert to fraction form
    205.38/308.04 = 97.11/x
  3. Step 3: Cross multiply
    205.38x = 308.04 × 97.11
  4. Step 4: Simplify right side
    205.38x = 29,913.76
  5. Step 5: Solve for x
    x = 29,913.76/205.38
  6. Step 6: Final answer
    x = 145.65

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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.