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Finding the Fourth Proportional to 222.09, 331.23 and 189.81

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Solution

The fourth proportional to 222.09, 331.23 and 189.81 is: 283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.09 : 331.23 = 189.81 : x
  2. Step 2: Convert to fraction form
    222.09/331.23 = 189.81/x
  3. Step 3: Cross multiply
    222.09x = 331.23 × 189.81
  4. Step 4: Simplify right side
    222.09x = 62,870.77
  5. Step 5: Solve for x
    x = 62,870.77/222.09
  6. Step 6: Final answer
    x = 283.09

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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.