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Finding the Fourth Proportional to 222.99, 334.07 and 164.57

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Solution

The fourth proportional to 222.99, 334.07 and 164.57 is: 246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.99 : 334.07 = 164.57 : x
  2. Step 2: Convert to fraction form
    222.99/334.07 = 164.57/x
  3. Step 3: Cross multiply
    222.99x = 334.07 × 164.57
  4. Step 4: Simplify right side
    222.99x = 54,976.23
  5. Step 5: Solve for x
    x = 54,976.23/222.99
  6. Step 6: Final answer
    x = 246.55

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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.