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Finding the Fourth Proportional to 222.19, 306.65 and 169.81

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Solution

The fourth proportional to 222.19, 306.65 and 169.81 is: 234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.19 : 306.65 = 169.81 : x
  2. Step 2: Convert to fraction form
    222.19/306.65 = 169.81/x
  3. Step 3: Cross multiply
    222.19x = 306.65 × 169.81
  4. Step 4: Simplify right side
    222.19x = 52,071.89
  5. Step 5: Solve for x
    x = 52,071.89/222.19
  6. Step 6: Final answer
    x = 234.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.