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Finding the Fourth Proportional to 276.24, 381 and 178.10

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Solution

The fourth proportional to 276.24, 381 and 178.10 is: 245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.24 : 381 = 178.10 : x
  2. Step 2: Convert to fraction form
    276.24/381 = 178.10/x
  3. Step 3: Cross multiply
    276.24x = 381 × 178.10
  4. Step 4: Simplify right side
    276.24x = 67,856.10
  5. Step 5: Solve for x
    x = 67,856.10/276.24
  6. Step 6: Final answer
    x = 245.64

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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.