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Finding the Fourth Proportional to 223.48, 334.59 and 165.27

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Solution

The fourth proportional to 223.48, 334.59 and 165.27 is: 247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.48 : 334.59 = 165.27 : x
  2. Step 2: Convert to fraction form
    223.48/334.59 = 165.27/x
  3. Step 3: Cross multiply
    223.48x = 334.59 × 165.27
  4. Step 4: Simplify right side
    223.48x = 55,297.69
  5. Step 5: Solve for x
    x = 55,297.69/223.48
  6. Step 6: Final answer
    x = 247.44

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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.