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Finding the Fourth Proportional to 227.58, 340.67 and 131.10

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Solution

The fourth proportional to 227.58, 340.67 and 131.10 is: 196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.58 : 340.67 = 131.10 : x
  2. Step 2: Convert to fraction form
    227.58/340.67 = 131.10/x
  3. Step 3: Cross multiply
    227.58x = 340.67 × 131.10
  4. Step 4: Simplify right side
    227.58x = 44,661.18
  5. Step 5: Solve for x
    x = 44,661.18/227.58
  6. Step 6: Final answer
    x = 196.24

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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.