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Finding the Fourth Proportional to 223.45, 334.83 and 165.58

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Solution

The fourth proportional to 223.45, 334.83 and 165.58 is: 248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.45 : 334.83 = 165.58 : x
  2. Step 2: Convert to fraction form
    223.45/334.83 = 165.58/x
  3. Step 3: Cross multiply
    223.45x = 334.83 × 165.58
  4. Step 4: Simplify right side
    223.45x = 55,440.73
  5. Step 5: Solve for x
    x = 55,440.73/223.45
  6. Step 6: Final answer
    x = 248.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.