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Finding the Fourth Proportional to 223.76, 335.88 and 150.68

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Solution

The fourth proportional to 223.76, 335.88 and 150.68 is: 226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.76 : 335.88 = 150.68 : x
  2. Step 2: Convert to fraction form
    223.76/335.88 = 150.68/x
  3. Step 3: Cross multiply
    223.76x = 335.88 × 150.68
  4. Step 4: Simplify right side
    223.76x = 50,610.40
  5. Step 5: Solve for x
    x = 50,610.40/223.76
  6. Step 6: Final answer
    x = 226.18

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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.