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Finding the Fourth Proportional to 271.65, 409.45 and 248.56

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Solution

The fourth proportional to 271.65, 409.45 and 248.56 is: 374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.65 : 409.45 = 248.56 : x
  2. Step 2: Convert to fraction form
    271.65/409.45 = 248.56/x
  3. Step 3: Cross multiply
    271.65x = 409.45 × 248.56
  4. Step 4: Simplify right side
    271.65x = 101,772.89
  5. Step 5: Solve for x
    x = 101,772.89/271.65
  6. Step 6: Final answer
    x = 374.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.