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Finding the Fourth Proportional to 223.92, 309 and 165.84

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Solution

The fourth proportional to 223.92, 309 and 165.84 is: 228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.92 : 309 = 165.84 : x
  2. Step 2: Convert to fraction form
    223.92/309 = 165.84/x
  3. Step 3: Cross multiply
    223.92x = 309 × 165.84
  4. Step 4: Simplify right side
    223.92x = 51,244.56
  5. Step 5: Solve for x
    x = 51,244.56/223.92
  6. Step 6: Final answer
    x = 228.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.