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Finding the Fourth Proportional to 222.13, 331.84 and 185.68

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Solution

The fourth proportional to 222.13, 331.84 and 185.68 is: 277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.13 : 331.84 = 185.68 : x
  2. Step 2: Convert to fraction form
    222.13/331.84 = 185.68/x
  3. Step 3: Cross multiply
    222.13x = 331.84 × 185.68
  4. Step 4: Simplify right side
    222.13x = 61,614.39
  5. Step 5: Solve for x
    x = 61,614.39/222.13
  6. Step 6: Final answer
    x = 277.39

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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.