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Finding the Fourth Proportional to 313.20, 432.27 and 202.97

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Solution

The fourth proportional to 313.20, 432.27 and 202.97 is: 280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.20 : 432.27 = 202.97 : x
  2. Step 2: Convert to fraction form
    313.20/432.27 = 202.97/x
  3. Step 3: Cross multiply
    313.20x = 432.27 × 202.97
  4. Step 4: Simplify right side
    313.20x = 87,738.92
  5. Step 5: Solve for x
    x = 87,738.92/313.20
  6. Step 6: Final answer
    x = 280.14

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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.