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Finding the Fourth Proportional to 223.83, 335.66 and 150.66

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Solution

The fourth proportional to 223.83, 335.66 and 150.66 is: 225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.83 : 335.66 = 150.66 : x
  2. Step 2: Convert to fraction form
    223.83/335.66 = 150.66/x
  3. Step 3: Cross multiply
    223.83x = 335.66 × 150.66
  4. Step 4: Simplify right side
    223.83x = 50,569.78
  5. Step 5: Solve for x
    x = 50,569.78/223.83
  6. Step 6: Final answer
    x = 225.93

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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.