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Finding the Fourth Proportional to 227.16, 313.42 and 157.22

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Solution

The fourth proportional to 227.16, 313.42 and 157.22 is: 216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.16 : 313.42 = 157.22 : x
  2. Step 2: Convert to fraction form
    227.16/313.42 = 157.22/x
  3. Step 3: Cross multiply
    227.16x = 313.42 × 157.22
  4. Step 4: Simplify right side
    227.16x = 49,275.89
  5. Step 5: Solve for x
    x = 49,275.89/227.16
  6. Step 6: Final answer
    x = 216.92

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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.