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Finding the Fourth Proportional to 227.65, 314.37 and 144.78

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Solution

The fourth proportional to 227.65, 314.37 and 144.78 is: 199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.65 : 314.37 = 144.78 : x
  2. Step 2: Convert to fraction form
    227.65/314.37 = 144.78/x
  3. Step 3: Cross multiply
    227.65x = 314.37 × 144.78
  4. Step 4: Simplify right side
    227.65x = 45,513.76
  5. Step 5: Solve for x
    x = 45,513.76/227.65
  6. Step 6: Final answer
    x = 199.93

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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.