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Finding the Fourth Proportional to 227.28, 313.65 and 123.78

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Solution

The fourth proportional to 227.28, 313.65 and 123.78 is: 170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.28 : 313.65 = 123.78 : x
  2. Step 2: Convert to fraction form
    227.28/313.65 = 123.78/x
  3. Step 3: Cross multiply
    227.28x = 313.65 × 123.78
  4. Step 4: Simplify right side
    227.28x = 38,823.60
  5. Step 5: Solve for x
    x = 38,823.60/227.28
  6. Step 6: Final answer
    x = 170.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.