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Finding the Fourth Proportional to 223.64, 335.12 and 165.77

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Solution

The fourth proportional to 223.64, 335.12 and 165.77 is: 248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.64 : 335.12 = 165.77 : x
  2. Step 2: Convert to fraction form
    223.64/335.12 = 165.77/x
  3. Step 3: Cross multiply
    223.64x = 335.12 × 165.77
  4. Step 4: Simplify right side
    223.64x = 55,550.34
  5. Step 5: Solve for x
    x = 55,550.34/223.64
  6. Step 6: Final answer
    x = 248.40

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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.