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Finding the Fourth Proportional to 276.80, 381.98 and 160.36

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Solution

The fourth proportional to 276.80, 381.98 and 160.36 is: 221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.80 : 381.98 = 160.36 : x
  2. Step 2: Convert to fraction form
    276.80/381.98 = 160.36/x
  3. Step 3: Cross multiply
    276.80x = 381.98 × 160.36
  4. Step 4: Simplify right side
    276.80x = 61,254.31
  5. Step 5: Solve for x
    x = 61,254.31/276.80
  6. Step 6: Final answer
    x = 221.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.