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Finding the Fourth Proportional to 221.86, 331.16 and 194.46

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Solution

The fourth proportional to 221.86, 331.16 and 194.46 is: 290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.86 : 331.16 = 194.46 : x
  2. Step 2: Convert to fraction form
    221.86/331.16 = 194.46/x
  3. Step 3: Cross multiply
    221.86x = 331.16 × 194.46
  4. Step 4: Simplify right side
    221.86x = 64,397.37
  5. Step 5: Solve for x
    x = 64,397.37/221.86
  6. Step 6: Final answer
    x = 290.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.