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Finding the Fourth Proportional to 205.65, 308.21 and 97.38

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Solution

The fourth proportional to 205.65, 308.21 and 97.38 is: 145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.65 : 308.21 = 97.38 : x
  2. Step 2: Convert to fraction form
    205.65/308.21 = 97.38/x
  3. Step 3: Cross multiply
    205.65x = 308.21 × 97.38
  4. Step 4: Simplify right side
    205.65x = 30,013.00
  5. Step 5: Solve for x
    x = 30,013.00/205.65
  6. Step 6: Final answer
    x = 145.94

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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.