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Finding the Fourth Proportional to 227.78, 314.29 and 157.82

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Solution

The fourth proportional to 227.78, 314.29 and 157.82 is: 217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.78 : 314.29 = 157.82 : x
  2. Step 2: Convert to fraction form
    227.78/314.29 = 157.82/x
  3. Step 3: Cross multiply
    227.78x = 314.29 × 157.82
  4. Step 4: Simplify right side
    227.78x = 49,600.76
  5. Step 5: Solve for x
    x = 49,600.76/227.78
  6. Step 6: Final answer
    x = 217.76

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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.