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Finding the Fourth Proportional to 227.43, 341.17 and 90.57

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Solution

The fourth proportional to 227.43, 341.17 and 90.57 is: 135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.43 : 341.17 = 90.57 : x
  2. Step 2: Convert to fraction form
    227.43/341.17 = 90.57/x
  3. Step 3: Cross multiply
    227.43x = 341.17 × 90.57
  4. Step 4: Simplify right side
    227.43x = 30,899.77
  5. Step 5: Solve for x
    x = 30,899.77/227.43
  6. Step 6: Final answer
    x = 135.86

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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.