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Finding the Fourth Proportional to 200.97, 277.32 and 113.65

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Solution

The fourth proportional to 200.97, 277.32 and 113.65 is: 156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.97 : 277.32 = 113.65 : x
  2. Step 2: Convert to fraction form
    200.97/277.32 = 113.65/x
  3. Step 3: Cross multiply
    200.97x = 277.32 × 113.65
  4. Step 4: Simplify right side
    200.97x = 31,517.42
  5. Step 5: Solve for x
    x = 31,517.42/200.97
  6. Step 6: Final answer
    x = 156.83

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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.