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Finding the Fourth Proportional to 276.45, 381.53 and 160

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Solution

The fourth proportional to 276.45, 381.53 and 160 is: 220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.45 : 381.53 = 160 : x
  2. Step 2: Convert to fraction form
    276.45/381.53 = 160/x
  3. Step 3: Cross multiply
    276.45x = 381.53 × 160
  4. Step 4: Simplify right side
    276.45x = 61,044.80
  5. Step 5: Solve for x
    x = 61,044.80/276.45
  6. Step 6: Final answer
    x = 220.82

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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.