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Finding the Fourth Proportional to 227.80, 314.52 and 143.81

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Solution

The fourth proportional to 227.80, 314.52 and 143.81 is: 198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.80 : 314.52 = 143.81 : x
  2. Step 2: Convert to fraction form
    227.80/314.52 = 143.81/x
  3. Step 3: Cross multiply
    227.80x = 314.52 × 143.81
  4. Step 4: Simplify right side
    227.80x = 45,231.91
  5. Step 5: Solve for x
    x = 45,231.91/227.80
  6. Step 6: Final answer
    x = 198.56

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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.