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Finding the Fourth Proportional to 222.35, 332.86 and 164.82

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Solution

The fourth proportional to 222.35, 332.86 and 164.82 is: 246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.35 : 332.86 = 164.82 : x
  2. Step 2: Convert to fraction form
    222.35/332.86 = 164.82/x
  3. Step 3: Cross multiply
    222.35x = 332.86 × 164.82
  4. Step 4: Simplify right side
    222.35x = 54,861.99
  5. Step 5: Solve for x
    x = 54,861.99/222.35
  6. Step 6: Final answer
    x = 246.74

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Why These Related Problems?

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