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Finding the Fourth Proportional to 227.78, 314.40 and 181.23

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Solution

The fourth proportional to 227.78, 314.40 and 181.23 is: 250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.78 : 314.40 = 181.23 : x
  2. Step 2: Convert to fraction form
    227.78/314.40 = 181.23/x
  3. Step 3: Cross multiply
    227.78x = 314.40 × 181.23
  4. Step 4: Simplify right side
    227.78x = 56,978.71
  5. Step 5: Solve for x
    x = 56,978.71/227.78
  6. Step 6: Final answer
    x = 250.15

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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.