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Finding the Fourth Proportional to 276.46, 381.49 and 160

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Solution

The fourth proportional to 276.46, 381.49 and 160 is: 220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.46 : 381.49 = 160 : x
  2. Step 2: Convert to fraction form
    276.46/381.49 = 160/x
  3. Step 3: Cross multiply
    276.46x = 381.49 × 160
  4. Step 4: Simplify right side
    276.46x = 61,038.40
  5. Step 5: Solve for x
    x = 61,038.40/276.46
  6. Step 6: Final answer
    x = 220.79

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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.