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Finding the Fourth Proportional to 222.36, 333.67 and 85.42

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Solution

The fourth proportional to 222.36, 333.67 and 85.42 is: 128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.36 : 333.67 = 85.42 : x
  2. Step 2: Convert to fraction form
    222.36/333.67 = 85.42/x
  3. Step 3: Cross multiply
    222.36x = 333.67 × 85.42
  4. Step 4: Simplify right side
    222.36x = 28,501.26
  5. Step 5: Solve for x
    x = 28,501.26/222.36
  6. Step 6: Final answer
    x = 128.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.