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Finding the Fourth Proportional to 207.83, 286.82 and 114.58

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Solution

The fourth proportional to 207.83, 286.82 and 114.58 is: 158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.83 : 286.82 = 114.58 : x
  2. Step 2: Convert to fraction form
    207.83/286.82 = 114.58/x
  3. Step 3: Cross multiply
    207.83x = 286.82 × 114.58
  4. Step 4: Simplify right side
    207.83x = 32,862.55
  5. Step 5: Solve for x
    x = 32,862.55/207.83
  6. Step 6: Final answer
    x = 158.12

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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.