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Finding the Fourth Proportional to 207.32, 286.09 and 149.20

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Solution

The fourth proportional to 207.32, 286.09 and 149.20 is: 205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.32 : 286.09 = 149.20 : x
  2. Step 2: Convert to fraction form
    207.32/286.09 = 149.20/x
  3. Step 3: Cross multiply
    207.32x = 286.09 × 149.20
  4. Step 4: Simplify right side
    207.32x = 42,684.63
  5. Step 5: Solve for x
    x = 42,684.63/207.32
  6. Step 6: Final answer
    x = 205.89

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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.