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Finding the Fourth Proportional to 223.54, 335.38 and 184.85

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Solution

The fourth proportional to 223.54, 335.38 and 184.85 is: 277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.54 : 335.38 = 184.85 : x
  2. Step 2: Convert to fraction form
    223.54/335.38 = 184.85/x
  3. Step 3: Cross multiply
    223.54x = 335.38 × 184.85
  4. Step 4: Simplify right side
    223.54x = 61,992.85
  5. Step 5: Solve for x
    x = 61,992.85/223.54
  6. Step 6: Final answer
    x = 277.32

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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.