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Finding the Fourth Proportional to 297.01, 409.57 and 180.55

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Solution

The fourth proportional to 297.01, 409.57 and 180.55 is: 248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.01 : 409.57 = 180.55 : x
  2. Step 2: Convert to fraction form
    297.01/409.57 = 180.55/x
  3. Step 3: Cross multiply
    297.01x = 409.57 × 180.55
  4. Step 4: Simplify right side
    297.01x = 73,947.86
  5. Step 5: Solve for x
    x = 73,947.86/297.01
  6. Step 6: Final answer
    x = 248.97

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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.