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Finding the Fourth Proportional to 227.57, 314.04 and 144.71

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Solution

The fourth proportional to 227.57, 314.04 and 144.71 is: 199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.57 : 314.04 = 144.71 : x
  2. Step 2: Convert to fraction form
    227.57/314.04 = 144.71/x
  3. Step 3: Cross multiply
    227.57x = 314.04 × 144.71
  4. Step 4: Simplify right side
    227.57x = 45,444.73
  5. Step 5: Solve for x
    x = 45,444.73/227.57
  6. Step 6: Final answer
    x = 199.70

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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.