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Finding the Fourth Proportional to 227.74, 314.21 and 134.52

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Solution

The fourth proportional to 227.74, 314.21 and 134.52 is: 185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.74 : 314.21 = 134.52 : x
  2. Step 2: Convert to fraction form
    227.74/314.21 = 134.52/x
  3. Step 3: Cross multiply
    227.74x = 314.21 × 134.52
  4. Step 4: Simplify right side
    227.74x = 42,265.93
  5. Step 5: Solve for x
    x = 42,265.93/227.74
  6. Step 6: Final answer
    x = 185.59

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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.