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Finding the Fourth Proportional to 276.42, 381.26 and 178.08

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Solution

The fourth proportional to 276.42, 381.26 and 178.08 is: 245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.42 : 381.26 = 178.08 : x
  2. Step 2: Convert to fraction form
    276.42/381.26 = 178.08/x
  3. Step 3: Cross multiply
    276.42x = 381.26 × 178.08
  4. Step 4: Simplify right side
    276.42x = 67,894.78
  5. Step 5: Solve for x
    x = 67,894.78/276.42
  6. Step 6: Final answer
    x = 245.62

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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.