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Finding the Fourth Proportional to 288.92, 398.86 and 200.90

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Solution

The fourth proportional to 288.92, 398.86 and 200.90 is: 277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.92 : 398.86 = 200.90 : x
  2. Step 2: Convert to fraction form
    288.92/398.86 = 200.90/x
  3. Step 3: Cross multiply
    288.92x = 398.86 × 200.90
  4. Step 4: Simplify right side
    288.92x = 80,130.97
  5. Step 5: Solve for x
    x = 80,130.97/288.92
  6. Step 6: Final answer
    x = 277.35

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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.