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Finding the Fourth Proportional to 223.77, 335.17 and 101.73

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Solution

The fourth proportional to 223.77, 335.17 and 101.73 is: 152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.77 : 335.17 = 101.73 : x
  2. Step 2: Convert to fraction form
    223.77/335.17 = 101.73/x
  3. Step 3: Cross multiply
    223.77x = 335.17 × 101.73
  4. Step 4: Simplify right side
    223.77x = 34,096.84
  5. Step 5: Solve for x
    x = 34,096.84/223.77
  6. Step 6: Final answer
    x = 152.37

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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.