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Finding the Fourth Proportional to 227.82, 314.42 and 134.58

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Solution

The fourth proportional to 227.82, 314.42 and 134.58 is: 185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.82 : 314.42 = 134.58 : x
  2. Step 2: Convert to fraction form
    227.82/314.42 = 134.58/x
  3. Step 3: Cross multiply
    227.82x = 314.42 × 134.58
  4. Step 4: Simplify right side
    227.82x = 42,314.64
  5. Step 5: Solve for x
    x = 42,314.64/227.82
  6. Step 6: Final answer
    x = 185.74

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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.