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Finding the Fourth Proportional to 276.42, 381.02 and 202.70

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Solution

The fourth proportional to 276.42, 381.02 and 202.70 is: 279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.42 : 381.02 = 202.70 : x
  2. Step 2: Convert to fraction form
    276.42/381.02 = 202.70/x
  3. Step 3: Cross multiply
    276.42x = 381.02 × 202.70
  4. Step 4: Simplify right side
    276.42x = 77,232.75
  5. Step 5: Solve for x
    x = 77,232.75/276.42
  6. Step 6: Final answer
    x = 279.40

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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.