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Finding the Fourth Proportional to 297.46, 410.19 and 180.95

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Solution

The fourth proportional to 297.46, 410.19 and 180.95 is: 249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.46 : 410.19 = 180.95 : x
  2. Step 2: Convert to fraction form
    297.46/410.19 = 180.95/x
  3. Step 3: Cross multiply
    297.46x = 410.19 × 180.95
  4. Step 4: Simplify right side
    297.46x = 74,222.28
  5. Step 5: Solve for x
    x = 74,222.28/297.46
  6. Step 6: Final answer
    x = 249.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.