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Finding the Fourth Proportional to 276.73, 381.88 and 152.39

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Solution

The fourth proportional to 276.73, 381.88 and 152.39 is: 210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.73 : 381.88 = 152.39 : x
  2. Step 2: Convert to fraction form
    276.73/381.88 = 152.39/x
  3. Step 3: Cross multiply
    276.73x = 381.88 × 152.39
  4. Step 4: Simplify right side
    276.73x = 58,192.78
  5. Step 5: Solve for x
    x = 58,192.78/276.73
  6. Step 6: Final answer
    x = 210.29

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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.