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Finding the Fourth Proportional to 223.66, 335.32 and 154.99

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Solution

The fourth proportional to 223.66, 335.32 and 154.99 is: 232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.66 : 335.32 = 154.99 : x
  2. Step 2: Convert to fraction form
    223.66/335.32 = 154.99/x
  3. Step 3: Cross multiply
    223.66x = 335.32 × 154.99
  4. Step 4: Simplify right side
    223.66x = 51,970.02
  5. Step 5: Solve for x
    x = 51,970.02/223.66
  6. Step 6: Final answer
    x = 232.36

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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.