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Finding the Fourth Proportional to 227.01, 340.41 and 90.12

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Solution

The fourth proportional to 227.01, 340.41 and 90.12 is: 135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.01 : 340.41 = 90.12 : x
  2. Step 2: Convert to fraction form
    227.01/340.41 = 90.12/x
  3. Step 3: Cross multiply
    227.01x = 340.41 × 90.12
  4. Step 4: Simplify right side
    227.01x = 30,677.75
  5. Step 5: Solve for x
    x = 30,677.75/227.01
  6. Step 6: Final answer
    x = 135.14

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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.