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Finding the Fourth Proportional to 276.56, 381.68 and 160.16

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Solution

The fourth proportional to 276.56, 381.68 and 160.16 is: 221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.56 : 381.68 = 160.16 : x
  2. Step 2: Convert to fraction form
    276.56/381.68 = 160.16/x
  3. Step 3: Cross multiply
    276.56x = 381.68 × 160.16
  4. Step 4: Simplify right side
    276.56x = 61,129.87
  5. Step 5: Solve for x
    x = 61,129.87/276.56
  6. Step 6: Final answer
    x = 221.04

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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.