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Finding the Fourth Proportional to 205.32, 282.97 and 149.97

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Solution

The fourth proportional to 205.32, 282.97 and 149.97 is: 206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.32 : 282.97 = 149.97 : x
  2. Step 2: Convert to fraction form
    205.32/282.97 = 149.97/x
  3. Step 3: Cross multiply
    205.32x = 282.97 × 149.97
  4. Step 4: Simplify right side
    205.32x = 42,437.01
  5. Step 5: Solve for x
    x = 42,437.01/205.32
  6. Step 6: Final answer
    x = 206.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.