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Finding the Fourth Proportional to 227.70, 314.21 and 144.81

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Solution

The fourth proportional to 227.70, 314.21 and 144.81 is: 199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.70 : 314.21 = 144.81 : x
  2. Step 2: Convert to fraction form
    227.70/314.21 = 144.81/x
  3. Step 3: Cross multiply
    227.70x = 314.21 × 144.81
  4. Step 4: Simplify right side
    227.70x = 45,501.11
  5. Step 5: Solve for x
    x = 45,501.11/227.70
  6. Step 6: Final answer
    x = 199.83

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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.