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Finding the Fourth Proportional to 275.66, 380.41 and 157.66

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Solution

The fourth proportional to 275.66, 380.41 and 157.66 is: 217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.66 : 380.41 = 157.66 : x
  2. Step 2: Convert to fraction form
    275.66/380.41 = 157.66/x
  3. Step 3: Cross multiply
    275.66x = 380.41 × 157.66
  4. Step 4: Simplify right side
    275.66x = 59,974.98
  5. Step 5: Solve for x
    x = 59,974.98/275.66
  6. Step 6: Final answer
    x = 217.57

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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.