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Finding the Fourth Proportional to 227.40, 341.05 and 73.34

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Solution

The fourth proportional to 227.40, 341.05 and 73.34 is: 109.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.40 : 341.05 = 73.34 : x
  2. Step 2: Convert to fraction form
    227.40/341.05 = 73.34/x
  3. Step 3: Cross multiply
    227.40x = 341.05 × 73.34
  4. Step 4: Simplify right side
    227.40x = 25,010.54
  5. Step 5: Solve for x
    x = 25,010.54/227.40
  6. Step 6: Final answer
    x = 109.99

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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.