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Finding the Fourth Proportional to 223.98, 335.58 and 146.82

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Solution

The fourth proportional to 223.98, 335.58 and 146.82 is: 219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.98 : 335.58 = 146.82 : x
  2. Step 2: Convert to fraction form
    223.98/335.58 = 146.82/x
  3. Step 3: Cross multiply
    223.98x = 335.58 × 146.82
  4. Step 4: Simplify right side
    223.98x = 49,269.86
  5. Step 5: Solve for x
    x = 49,269.86/223.98
  6. Step 6: Final answer
    x = 219.97

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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.