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Finding the Fourth Proportional to 297.12, 410.24 and 180.76

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Solution

The fourth proportional to 297.12, 410.24 and 180.76 is: 249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.12 : 410.24 = 180.76 : x
  2. Step 2: Convert to fraction form
    297.12/410.24 = 180.76/x
  3. Step 3: Cross multiply
    297.12x = 410.24 × 180.76
  4. Step 4: Simplify right side
    297.12x = 74,154.98
  5. Step 5: Solve for x
    x = 74,154.98/297.12
  6. Step 6: Final answer
    x = 249.58

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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.