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Finding the Fourth Proportional to 274.85, 379.18 and 180.30

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Solution

The fourth proportional to 274.85, 379.18 and 180.30 is: 248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.85 : 379.18 = 180.30 : x
  2. Step 2: Convert to fraction form
    274.85/379.18 = 180.30/x
  3. Step 3: Cross multiply
    274.85x = 379.18 × 180.30
  4. Step 4: Simplify right side
    274.85x = 68,365.67
  5. Step 5: Solve for x
    x = 68,365.67/274.85
  6. Step 6: Final answer
    x = 248.74

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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.