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Finding the Fourth Proportional to 223.82, 335.49 and 152.06

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Solution

The fourth proportional to 223.82, 335.49 and 152.06 is: 227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.82 : 335.49 = 152.06 : x
  2. Step 2: Convert to fraction form
    223.82/335.49 = 152.06/x
  3. Step 3: Cross multiply
    223.82x = 335.49 × 152.06
  4. Step 4: Simplify right side
    223.82x = 51,014.61
  5. Step 5: Solve for x
    x = 51,014.61/223.82
  6. Step 6: Final answer
    x = 227.93

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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.