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Finding the Fourth Proportional to 205.97, 308.28 and 148.01

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Solution

The fourth proportional to 205.97, 308.28 and 148.01 is: 221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.97 : 308.28 = 148.01 : x
  2. Step 2: Convert to fraction form
    205.97/308.28 = 148.01/x
  3. Step 3: Cross multiply
    205.97x = 308.28 × 148.01
  4. Step 4: Simplify right side
    205.97x = 45,628.52
  5. Step 5: Solve for x
    x = 45,628.52/205.97
  6. Step 6: Final answer
    x = 221.53

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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.