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Finding the Fourth Proportional to 221.34, 305.46 and 165.99

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Solution

The fourth proportional to 221.34, 305.46 and 165.99 is: 229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.34 : 305.46 = 165.99 : x
  2. Step 2: Convert to fraction form
    221.34/305.46 = 165.99/x
  3. Step 3: Cross multiply
    221.34x = 305.46 × 165.99
  4. Step 4: Simplify right side
    221.34x = 50,703.31
  5. Step 5: Solve for x
    x = 50,703.31/221.34
  6. Step 6: Final answer
    x = 229.07

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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.