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Finding the Fourth Proportional to 223.26, 334.62 and 120.48

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Solution

The fourth proportional to 223.26, 334.62 and 120.48 is: 180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.26 : 334.62 = 120.48 : x
  2. Step 2: Convert to fraction form
    223.26/334.62 = 120.48/x
  3. Step 3: Cross multiply
    223.26x = 334.62 × 120.48
  4. Step 4: Simplify right side
    223.26x = 40,315.02
  5. Step 5: Solve for x
    x = 40,315.02/223.26
  6. Step 6: Final answer
    x = 180.57

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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.