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Finding the Fourth Proportional to 220.37, 329.97 and 117.42

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Solution

The fourth proportional to 220.37, 329.97 and 117.42 is: 175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.37 : 329.97 = 117.42 : x
  2. Step 2: Convert to fraction form
    220.37/329.97 = 117.42/x
  3. Step 3: Cross multiply
    220.37x = 329.97 × 117.42
  4. Step 4: Simplify right side
    220.37x = 38,744.28
  5. Step 5: Solve for x
    x = 38,744.28/220.37
  6. Step 6: Final answer
    x = 175.82

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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.