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Finding the Fourth Proportional to 220.24, 329.58 and 194.72

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Solution

The fourth proportional to 220.24, 329.58 and 194.72 is: 291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.24 : 329.58 = 194.72 : x
  2. Step 2: Convert to fraction form
    220.24/329.58 = 194.72/x
  3. Step 3: Cross multiply
    220.24x = 329.58 × 194.72
  4. Step 4: Simplify right side
    220.24x = 64,175.82
  5. Step 5: Solve for x
    x = 64,175.82/220.24
  6. Step 6: Final answer
    x = 291.39

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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.