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Finding the Fourth Proportional to 227.71, 340.80 and 145.48

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Solution

The fourth proportional to 227.71, 340.80 and 145.48 is: 217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.71 : 340.80 = 145.48 : x
  2. Step 2: Convert to fraction form
    227.71/340.80 = 145.48/x
  3. Step 3: Cross multiply
    227.71x = 340.80 × 145.48
  4. Step 4: Simplify right side
    227.71x = 49,579.58
  5. Step 5: Solve for x
    x = 49,579.58/227.71
  6. Step 6: Final answer
    x = 217.73

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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.