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Finding the Fourth Proportional to 227.74, 314.28 and 134.50

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Solution

The fourth proportional to 227.74, 314.28 and 134.50 is: 185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.74 : 314.28 = 134.50 : x
  2. Step 2: Convert to fraction form
    227.74/314.28 = 134.50/x
  3. Step 3: Cross multiply
    227.74x = 314.28 × 134.50
  4. Step 4: Simplify right side
    227.74x = 42,270.66
  5. Step 5: Solve for x
    x = 42,270.66/227.74
  6. Step 6: Final answer
    x = 185.61

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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.