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Finding the Fourth Proportional to 227.31, 340.95 and 97.40

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Solution

The fourth proportional to 227.31, 340.95 and 97.40 is: 146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.31 : 340.95 = 97.40 : x
  2. Step 2: Convert to fraction form
    227.31/340.95 = 97.40/x
  3. Step 3: Cross multiply
    227.31x = 340.95 × 97.40
  4. Step 4: Simplify right side
    227.31x = 33,206.83
  5. Step 5: Solve for x
    x = 33,206.83/227.31
  6. Step 6: Final answer
    x = 146.09

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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.