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Finding the Fourth Proportional to 207.95, 286.88 and 133.29

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Solution

The fourth proportional to 207.95, 286.88 and 133.29 is: 183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.95 : 286.88 = 133.29 : x
  2. Step 2: Convert to fraction form
    207.95/286.88 = 133.29/x
  3. Step 3: Cross multiply
    207.95x = 286.88 × 133.29
  4. Step 4: Simplify right side
    207.95x = 38,237.57
  5. Step 5: Solve for x
    x = 38,237.57/207.95
  6. Step 6: Final answer
    x = 183.88

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