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Finding the Fourth Proportional to 227.07, 340.40 and 82.76

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Solution

The fourth proportional to 227.07, 340.40 and 82.76 is: 124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.07 : 340.40 = 82.76 : x
  2. Step 2: Convert to fraction form
    227.07/340.40 = 82.76/x
  3. Step 3: Cross multiply
    227.07x = 340.40 × 82.76
  4. Step 4: Simplify right side
    227.07x = 28,170.01
  5. Step 5: Solve for x
    x = 28,170.01/227.07
  6. Step 6: Final answer
    x = 124.06

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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.