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Finding the Fourth Proportional to 223.61, 334.85 and 113.72

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Solution

The fourth proportional to 223.61, 334.85 and 113.72 is: 170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.61 : 334.85 = 113.72 : x
  2. Step 2: Convert to fraction form
    223.61/334.85 = 113.72/x
  3. Step 3: Cross multiply
    223.61x = 334.85 × 113.72
  4. Step 4: Simplify right side
    223.61x = 38,076.90
  5. Step 5: Solve for x
    x = 38,076.90/223.61
  6. Step 6: Final answer
    x = 170.29

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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.