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Finding the Fourth Proportional to 227.82, 314.42 and 144.93

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Solution

The fourth proportional to 227.82, 314.42 and 144.93 is: 200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.82 : 314.42 = 144.93 : x
  2. Step 2: Convert to fraction form
    227.82/314.42 = 144.93/x
  3. Step 3: Cross multiply
    227.82x = 314.42 × 144.93
  4. Step 4: Simplify right side
    227.82x = 45,568.89
  5. Step 5: Solve for x
    x = 45,568.89/227.82
  6. Step 6: Final answer
    x = 200.02

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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.