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Finding the Fourth Proportional to 207.28, 286.17 and 148.41

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Solution

The fourth proportional to 207.28, 286.17 and 148.41 is: 204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.28 : 286.17 = 148.41 : x
  2. Step 2: Convert to fraction form
    207.28/286.17 = 148.41/x
  3. Step 3: Cross multiply
    207.28x = 286.17 × 148.41
  4. Step 4: Simplify right side
    207.28x = 42,470.49
  5. Step 5: Solve for x
    x = 42,470.49/207.28
  6. Step 6: Final answer
    x = 204.89

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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.