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Finding the Fourth Proportional to 227.97, 314.21 and 158.00

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Solution

The fourth proportional to 227.97, 314.21 and 158.00 is: 217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.97 : 314.21 = 158.00 : x
  2. Step 2: Convert to fraction form
    227.97/314.21 = 158.00/x
  3. Step 3: Cross multiply
    227.97x = 314.21 × 158.00
  4. Step 4: Simplify right side
    227.97x = 49,645.94
  5. Step 5: Solve for x
    x = 49,645.94/227.97
  6. Step 6: Final answer
    x = 217.77

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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.