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Finding the Fourth Proportional to 297.34, 410.40 and 180.88

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Solution

The fourth proportional to 297.34, 410.40 and 180.88 is: 249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.34 : 410.40 = 180.88 : x
  2. Step 2: Convert to fraction form
    297.34/410.40 = 180.88/x
  3. Step 3: Cross multiply
    297.34x = 410.40 × 180.88
  4. Step 4: Simplify right side
    297.34x = 74,230.20
  5. Step 5: Solve for x
    x = 74,230.20/297.34
  6. Step 6: Final answer
    x = 249.65

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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.