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Finding the Fourth Proportional to 227.12, 340.69 and 109.95

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Solution

The fourth proportional to 227.12, 340.69 and 109.95 is: 164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.12 : 340.69 = 109.95 : x
  2. Step 2: Convert to fraction form
    227.12/340.69 = 109.95/x
  3. Step 3: Cross multiply
    227.12x = 340.69 × 109.95
  4. Step 4: Simplify right side
    227.12x = 37,457.31
  5. Step 5: Solve for x
    x = 37,457.31/227.12
  6. Step 6: Final answer
    x = 164.93

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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.