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Finding the Fourth Proportional to 227.75, 314.27 and 129.50

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Solution

The fourth proportional to 227.75, 314.27 and 129.50 is: 178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.75 : 314.27 = 129.50 : x
  2. Step 2: Convert to fraction form
    227.75/314.27 = 129.50/x
  3. Step 3: Cross multiply
    227.75x = 314.27 × 129.50
  4. Step 4: Simplify right side
    227.75x = 40,695.75
  5. Step 5: Solve for x
    x = 40,695.75/227.75
  6. Step 6: Final answer
    x = 178.69

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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.