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Finding the Fourth Proportional to 200.30, 276.38 and 112.96

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Solution

The fourth proportional to 200.30, 276.38 and 112.96 is: 155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.30 : 276.38 = 112.96 : x
  2. Step 2: Convert to fraction form
    200.30/276.38 = 112.96/x
  3. Step 3: Cross multiply
    200.30x = 276.38 × 112.96
  4. Step 4: Simplify right side
    200.30x = 31,219.88
  5. Step 5: Solve for x
    x = 31,219.88/200.30
  6. Step 6: Final answer
    x = 155.87

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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.