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Finding the Fourth Proportional to 275.93, 381.07 and 252.53

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Solution

The fourth proportional to 275.93, 381.07 and 252.53 is: 348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.93 : 381.07 = 252.53 : x
  2. Step 2: Convert to fraction form
    275.93/381.07 = 252.53/x
  3. Step 3: Cross multiply
    275.93x = 381.07 × 252.53
  4. Step 4: Simplify right side
    275.93x = 96,232.88
  5. Step 5: Solve for x
    x = 96,232.88/275.93
  6. Step 6: Final answer
    x = 348.76

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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.