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Finding the Fourth Proportional to 227.90, 314.42 and 157.88

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Solution

The fourth proportional to 227.90, 314.42 and 157.88 is: 217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.90 : 314.42 = 157.88 : x
  2. Step 2: Convert to fraction form
    227.90/314.42 = 157.88/x
  3. Step 3: Cross multiply
    227.90x = 314.42 × 157.88
  4. Step 4: Simplify right side
    227.90x = 49,639.06
  5. Step 5: Solve for x
    x = 49,639.06/227.90
  6. Step 6: Final answer
    x = 217.82

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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.