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Finding the Fourth Proportional to 207.75, 286.74 and 130.17

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Solution

The fourth proportional to 207.75, 286.74 and 130.17 is: 179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.75 : 286.74 = 130.17 : x
  2. Step 2: Convert to fraction form
    207.75/286.74 = 130.17/x
  3. Step 3: Cross multiply
    207.75x = 286.74 × 130.17
  4. Step 4: Simplify right side
    207.75x = 37,324.95
  5. Step 5: Solve for x
    x = 37,324.95/207.75
  6. Step 6: Final answer
    x = 179.66

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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.