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Finding the Fourth Proportional to 223.96, 335.95 and 61.66

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Solution

The fourth proportional to 223.96, 335.95 and 61.66 is: 92.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.96 : 335.95 = 61.66 : x
  2. Step 2: Convert to fraction form
    223.96/335.95 = 61.66/x
  3. Step 3: Cross multiply
    223.96x = 335.95 × 61.66
  4. Step 4: Simplify right side
    223.96x = 20,714.68
  5. Step 5: Solve for x
    x = 20,714.68/223.96
  6. Step 6: Final answer
    x = 92.49

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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.