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Finding the Fourth Proportional to 227.27, 340.35 and 135.69

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Solution

The fourth proportional to 227.27, 340.35 and 135.69 is: 203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.27 : 340.35 = 135.69 : x
  2. Step 2: Convert to fraction form
    227.27/340.35 = 135.69/x
  3. Step 3: Cross multiply
    227.27x = 340.35 × 135.69
  4. Step 4: Simplify right side
    227.27x = 46,182.09
  5. Step 5: Solve for x
    x = 46,182.09/227.27
  6. Step 6: Final answer
    x = 203.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.