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Finding the Fourth Proportional to 227.40, 340.95 and 105.78

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Solution

The fourth proportional to 227.40, 340.95 and 105.78 is: 158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.40 : 340.95 = 105.78 : x
  2. Step 2: Convert to fraction form
    227.40/340.95 = 105.78/x
  3. Step 3: Cross multiply
    227.40x = 340.95 × 105.78
  4. Step 4: Simplify right side
    227.40x = 36,065.69
  5. Step 5: Solve for x
    x = 36,065.69/227.40
  6. Step 6: Final answer
    x = 158.60

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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.