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Finding the Fourth Proportional to 222.21, 332.91 and 164.57

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Solution

The fourth proportional to 222.21, 332.91 and 164.57 is: 246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.21 : 332.91 = 164.57 : x
  2. Step 2: Convert to fraction form
    222.21/332.91 = 164.57/x
  3. Step 3: Cross multiply
    222.21x = 332.91 × 164.57
  4. Step 4: Simplify right side
    222.21x = 54,785.33
  5. Step 5: Solve for x
    x = 54,785.33/222.21
  6. Step 6: Final answer
    x = 246.55

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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.