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Finding the Fourth Proportional to 207.57, 286.45 and 114.31

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Solution

The fourth proportional to 207.57, 286.45 and 114.31 is: 157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.57 : 286.45 = 114.31 : x
  2. Step 2: Convert to fraction form
    207.57/286.45 = 114.31/x
  3. Step 3: Cross multiply
    207.57x = 286.45 × 114.31
  4. Step 4: Simplify right side
    207.57x = 32,744.10
  5. Step 5: Solve for x
    x = 32,744.10/207.57
  6. Step 6: Final answer
    x = 157.75

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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.