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Finding the Fourth Proportional to 200.76, 276.97 and 113.42

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Solution

The fourth proportional to 200.76, 276.97 and 113.42 is: 156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.76 : 276.97 = 113.42 : x
  2. Step 2: Convert to fraction form
    200.76/276.97 = 113.42/x
  3. Step 3: Cross multiply
    200.76x = 276.97 × 113.42
  4. Step 4: Simplify right side
    200.76x = 31,412.27
  5. Step 5: Solve for x
    x = 31,412.27/200.76
  6. Step 6: Final answer
    x = 156.47

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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.