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Finding the Fourth Proportional to 223.85, 335.16 and 189.42

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Solution

The fourth proportional to 223.85, 335.16 and 189.42 is: 283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.85 : 335.16 = 189.42 : x
  2. Step 2: Convert to fraction form
    223.85/335.16 = 189.42/x
  3. Step 3: Cross multiply
    223.85x = 335.16 × 189.42
  4. Step 4: Simplify right side
    223.85x = 63,486.01
  5. Step 5: Solve for x
    x = 63,486.01/223.85
  6. Step 6: Final answer
    x = 283.61

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