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Finding the Fourth Proportional to 227.78, 314.34 and 124.28

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Solution

The fourth proportional to 227.78, 314.34 and 124.28 is: 171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.78 : 314.34 = 124.28 : x
  2. Step 2: Convert to fraction form
    227.78/314.34 = 124.28/x
  3. Step 3: Cross multiply
    227.78x = 314.34 × 124.28
  4. Step 4: Simplify right side
    227.78x = 39,066.65
  5. Step 5: Solve for x
    x = 39,066.65/227.78
  6. Step 6: Final answer
    x = 171.51

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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.