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Finding the Fourth Proportional to 227.82, 341.76 and 83.64

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Solution

The fourth proportional to 227.82, 341.76 and 83.64 is: 125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.82 : 341.76 = 83.64 : x
  2. Step 2: Convert to fraction form
    227.82/341.76 = 83.64/x
  3. Step 3: Cross multiply
    227.82x = 341.76 × 83.64
  4. Step 4: Simplify right side
    227.82x = 28,584.81
  5. Step 5: Solve for x
    x = 28,584.81/227.82
  6. Step 6: Final answer
    x = 125.47

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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.