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Finding the Fourth Proportional to 133.48, 200.22 and 109.18

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Solution

The fourth proportional to 133.48, 200.22 and 109.18 is: 163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.48 : 200.22 = 109.18 : x
  2. Step 2: Convert to fraction form
    133.48/200.22 = 109.18/x
  3. Step 3: Cross multiply
    133.48x = 200.22 × 109.18
  4. Step 4: Simplify right side
    133.48x = 21,860.02
  5. Step 5: Solve for x
    x = 21,860.02/133.48
  6. Step 6: Final answer
    x = 163.77

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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.