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Finding the Fourth Proportional to 276.30, 412.16 and 248.94

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Solution

The fourth proportional to 276.30, 412.16 and 248.94 is: 371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.30 : 412.16 = 248.94 : x
  2. Step 2: Convert to fraction form
    276.30/412.16 = 248.94/x
  3. Step 3: Cross multiply
    276.30x = 412.16 × 248.94
  4. Step 4: Simplify right side
    276.30x = 102,601.87
  5. Step 5: Solve for x
    x = 102,601.87/276.30
  6. Step 6: Final answer
    x = 371.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.