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Finding the Fourth Proportional to 227.43, 340.95 and 141.75

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Solution

The fourth proportional to 227.43, 340.95 and 141.75 is: 212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.43 : 340.95 = 141.75 : x
  2. Step 2: Convert to fraction form
    227.43/340.95 = 141.75/x
  3. Step 3: Cross multiply
    227.43x = 340.95 × 141.75
  4. Step 4: Simplify right side
    227.43x = 48,329.66
  5. Step 5: Solve for x
    x = 48,329.66/227.43
  6. Step 6: Final answer
    x = 212.50

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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.