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Finding the Fourth Proportional to 205.71, 308.57 and 97.42

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Solution

The fourth proportional to 205.71, 308.57 and 97.42 is: 146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.71 : 308.57 = 97.42 : x
  2. Step 2: Convert to fraction form
    205.71/308.57 = 97.42/x
  3. Step 3: Cross multiply
    205.71x = 308.57 × 97.42
  4. Step 4: Simplify right side
    205.71x = 30,060.89
  5. Step 5: Solve for x
    x = 30,060.89/205.71
  6. Step 6: Final answer
    x = 146.13

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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.