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Finding the Fourth Proportional to 227.41, 341.08 and 83.16

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Solution

The fourth proportional to 227.41, 341.08 and 83.16 is: 124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.41 : 341.08 = 83.16 : x
  2. Step 2: Convert to fraction form
    227.41/341.08 = 83.16/x
  3. Step 3: Cross multiply
    227.41x = 341.08 × 83.16
  4. Step 4: Simplify right side
    227.41x = 28,364.00
  5. Step 5: Solve for x
    x = 28,364.00/227.41
  6. Step 6: Final answer
    x = 124.73

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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.