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Finding the Fourth Proportional to 227.16, 340.81 and 90.20

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Solution

The fourth proportional to 227.16, 340.81 and 90.20 is: 135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.16 : 340.81 = 90.20 : x
  2. Step 2: Convert to fraction form
    227.16/340.81 = 90.20/x
  3. Step 3: Cross multiply
    227.16x = 340.81 × 90.20
  4. Step 4: Simplify right side
    227.16x = 30,741.69
  5. Step 5: Solve for x
    x = 30,741.69/227.16
  6. Step 6: Final answer
    x = 135.33

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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.