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Finding the Fourth Proportional to 205.90, 308.24 and 147.82

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Solution

The fourth proportional to 205.90, 308.24 and 147.82 is: 221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.90 : 308.24 = 147.82 : x
  2. Step 2: Convert to fraction form
    205.90/308.24 = 147.82/x
  3. Step 3: Cross multiply
    205.90x = 308.24 × 147.82
  4. Step 4: Simplify right side
    205.90x = 45,564.04
  5. Step 5: Solve for x
    x = 45,564.04/205.90
  6. Step 6: Final answer
    x = 221.29

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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.