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Finding the Fourth Proportional to 227.43, 314.08 and 177.78

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Solution

The fourth proportional to 227.43, 314.08 and 177.78 is: 245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.43 : 314.08 = 177.78 : x
  2. Step 2: Convert to fraction form
    227.43/314.08 = 177.78/x
  3. Step 3: Cross multiply
    227.43x = 314.08 × 177.78
  4. Step 4: Simplify right side
    227.43x = 55,837.14
  5. Step 5: Solve for x
    x = 55,837.14/227.43
  6. Step 6: Final answer
    x = 245.51

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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.