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Finding the Fourth Proportional to 288.28, 397.56 and 200.98

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Solution

The fourth proportional to 288.28, 397.56 and 200.98 is: 277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.28 : 397.56 = 200.98 : x
  2. Step 2: Convert to fraction form
    288.28/397.56 = 200.98/x
  3. Step 3: Cross multiply
    288.28x = 397.56 × 200.98
  4. Step 4: Simplify right side
    288.28x = 79,901.61
  5. Step 5: Solve for x
    x = 79,901.61/288.28
  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.