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Finding the Fourth Proportional to 223.25, 334.77 and 120.51

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Solution

The fourth proportional to 223.25, 334.77 and 120.51 is: 180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.25 : 334.77 = 120.51 : x
  2. Step 2: Convert to fraction form
    223.25/334.77 = 120.51/x
  3. Step 3: Cross multiply
    223.25x = 334.77 × 120.51
  4. Step 4: Simplify right side
    223.25x = 40,343.13
  5. Step 5: Solve for x
    x = 40,343.13/223.25
  6. Step 6: Final answer
    x = 180.71

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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.