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Finding the Fourth Proportional to 275.97, 380.87 and 151.66

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Solution

The fourth proportional to 275.97, 380.87 and 151.66 is: 209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.97 : 380.87 = 151.66 : x
  2. Step 2: Convert to fraction form
    275.97/380.87 = 151.66/x
  3. Step 3: Cross multiply
    275.97x = 380.87 × 151.66
  4. Step 4: Simplify right side
    275.97x = 57,760.89
  5. Step 5: Solve for x
    x = 57,760.89/275.97
  6. Step 6: Final answer
    x = 209.30

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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.