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Finding the Fourth Proportional to 297.03, 409.51 and 203.61

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Solution

The fourth proportional to 297.03, 409.51 and 203.61 is: 280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.03 : 409.51 = 203.61 : x
  2. Step 2: Convert to fraction form
    297.03/409.51 = 203.61/x
  3. Step 3: Cross multiply
    297.03x = 409.51 × 203.61
  4. Step 4: Simplify right side
    297.03x = 83,378.28
  5. Step 5: Solve for x
    x = 83,378.28/297.03
  6. Step 6: Final answer
    x = 280.71

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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.