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Finding the Fourth Proportional to 227.31, 314.07 and 181.03

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Solution

The fourth proportional to 227.31, 314.07 and 181.03 is: 250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.31 : 314.07 = 181.03 : x
  2. Step 2: Convert to fraction form
    227.31/314.07 = 181.03/x
  3. Step 3: Cross multiply
    227.31x = 314.07 × 181.03
  4. Step 4: Simplify right side
    227.31x = 56,855.31
  5. Step 5: Solve for x
    x = 56,855.31/227.31
  6. Step 6: Final answer
    x = 250.12

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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.