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Finding the Fourth Proportional to 288.80, 398.69 and 200.78

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Solution

The fourth proportional to 288.80, 398.69 and 200.78 is: 277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.80 : 398.69 = 200.78 : x
  2. Step 2: Convert to fraction form
    288.80/398.69 = 200.78/x
  3. Step 3: Cross multiply
    288.80x = 398.69 × 200.78
  4. Step 4: Simplify right side
    288.80x = 80,045.98
  5. Step 5: Solve for x
    x = 80,045.98/288.80
  6. Step 6: Final answer
    x = 277.17

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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.