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Finding the Fourth Proportional to 227.73, 314.24 and 128.13

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Solution

The fourth proportional to 227.73, 314.24 and 128.13 is: 176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.73 : 314.24 = 128.13 : x
  2. Step 2: Convert to fraction form
    227.73/314.24 = 128.13/x
  3. Step 3: Cross multiply
    227.73x = 314.24 × 128.13
  4. Step 4: Simplify right side
    227.73x = 40,262.93
  5. Step 5: Solve for x
    x = 40,262.93/227.73
  6. Step 6: Final answer
    x = 176.80

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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.