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Finding the Fourth Proportional to 274.97, 379.53 and 170.07

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Solution

The fourth proportional to 274.97, 379.53 and 170.07 is: 234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.97 : 379.53 = 170.07 : x
  2. Step 2: Convert to fraction form
    274.97/379.53 = 170.07/x
  3. Step 3: Cross multiply
    274.97x = 379.53 × 170.07
  4. Step 4: Simplify right side
    274.97x = 64,546.67
  5. Step 5: Solve for x
    x = 64,546.67/274.97
  6. Step 6: Final answer
    x = 234.74

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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.