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Finding the Fourth Proportional to 283.88, 426.06 and 227.24

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Solution

The fourth proportional to 283.88, 426.06 and 227.24 is: 341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.88 : 426.06 = 227.24 : x
  2. Step 2: Convert to fraction form
    283.88/426.06 = 227.24/x
  3. Step 3: Cross multiply
    283.88x = 426.06 × 227.24
  4. Step 4: Simplify right side
    283.88x = 96,817.87
  5. Step 5: Solve for x
    x = 96,817.87/283.88
  6. Step 6: Final answer
    x = 341.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.