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Finding the Fourth Proportional to 276.76, 381.66 and 230.20

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Solution

The fourth proportional to 276.76, 381.66 and 230.20 is: 317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.76 : 381.66 = 230.20 : x
  2. Step 2: Convert to fraction form
    276.76/381.66 = 230.20/x
  3. Step 3: Cross multiply
    276.76x = 381.66 × 230.20
  4. Step 4: Simplify right side
    276.76x = 87,858.13
  5. Step 5: Solve for x
    x = 87,858.13/276.76
  6. Step 6: Final answer
    x = 317.45

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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.