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Finding the Fourth Proportional to 207.68, 286.61 and 114.44

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Solution

The fourth proportional to 207.68, 286.61 and 114.44 is: 157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.68 : 286.61 = 114.44 : x
  2. Step 2: Convert to fraction form
    207.68/286.61 = 114.44/x
  3. Step 3: Cross multiply
    207.68x = 286.61 × 114.44
  4. Step 4: Simplify right side
    207.68x = 32,799.65
  5. Step 5: Solve for x
    x = 32,799.65/207.68
  6. Step 6: Final answer
    x = 157.93

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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.