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Finding the Fourth Proportional to 207.71, 286.64 and 114.46

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Solution

The fourth proportional to 207.71, 286.64 and 114.46 is: 157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.71 : 286.64 = 114.46 : x
  2. Step 2: Convert to fraction form
    207.71/286.64 = 114.46/x
  3. Step 3: Cross multiply
    207.71x = 286.64 × 114.46
  4. Step 4: Simplify right side
    207.71x = 32,808.10
  5. Step 5: Solve for x
    x = 32,808.10/207.71
  6. Step 6: Final answer
    x = 157.96

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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.