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Finding the Fourth Proportional to 221.84, 332.69 and 106.34

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Solution

The fourth proportional to 221.84, 332.69 and 106.34 is: 159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.84 : 332.69 = 106.34 : x
  2. Step 2: Convert to fraction form
    221.84/332.69 = 106.34/x
  3. Step 3: Cross multiply
    221.84x = 332.69 × 106.34
  4. Step 4: Simplify right side
    221.84x = 35,378.25
  5. Step 5: Solve for x
    x = 35,378.25/221.84
  6. Step 6: Final answer
    x = 159.48

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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.