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Finding the Fourth Proportional to 223.61, 335.11 and 174.65

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Solution

The fourth proportional to 223.61, 335.11 and 174.65 is: 261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.61 : 335.11 = 174.65 : x
  2. Step 2: Convert to fraction form
    223.61/335.11 = 174.65/x
  3. Step 3: Cross multiply
    223.61x = 335.11 × 174.65
  4. Step 4: Simplify right side
    223.61x = 58,524.85
  5. Step 5: Solve for x
    x = 58,524.85/223.61
  6. Step 6: Final answer
    x = 261.72

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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.