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Finding the Fourth Proportional to 205.32, 308.01 and 97.08

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Solution

The fourth proportional to 205.32, 308.01 and 97.08 is: 145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.32 : 308.01 = 97.08 : x
  2. Step 2: Convert to fraction form
    205.32/308.01 = 97.08/x
  3. Step 3: Cross multiply
    205.32x = 308.01 × 97.08
  4. Step 4: Simplify right side
    205.32x = 29,901.61
  5. Step 5: Solve for x
    x = 29,901.61/205.32
  6. Step 6: Final answer
    x = 145.63

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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.