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Finding the Fourth Proportional to 200.12, 276.40 and 137.86

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Solution

The fourth proportional to 200.12, 276.40 and 137.86 is: 190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.12 : 276.40 = 137.86 : x
  2. Step 2: Convert to fraction form
    200.12/276.40 = 137.86/x
  3. Step 3: Cross multiply
    200.12x = 276.40 × 137.86
  4. Step 4: Simplify right side
    200.12x = 38,104.50
  5. Step 5: Solve for x
    x = 38,104.50/200.12
  6. Step 6: Final answer
    x = 190.41

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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.