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Finding the Fourth Proportional to 223.66, 335.90 and 155.52

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Solution

The fourth proportional to 223.66, 335.90 and 155.52 is: 233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.66 : 335.90 = 155.52 : x
  2. Step 2: Convert to fraction form
    223.66/335.90 = 155.52/x
  3. Step 3: Cross multiply
    223.66x = 335.90 × 155.52
  4. Step 4: Simplify right side
    223.66x = 52,238.68
  5. Step 5: Solve for x
    x = 52,238.68/223.66
  6. Step 6: Final answer
    x = 233.56

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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.