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Finding the Fourth Proportional to 221.49, 332.04 and 118.83

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Solution

The fourth proportional to 221.49, 332.04 and 118.83 is: 178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.49 : 332.04 = 118.83 : x
  2. Step 2: Convert to fraction form
    221.49/332.04 = 118.83/x
  3. Step 3: Cross multiply
    221.49x = 332.04 × 118.83
  4. Step 4: Simplify right side
    221.49x = 39,456.31
  5. Step 5: Solve for x
    x = 39,456.31/221.49
  6. Step 6: Final answer
    x = 178.14

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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.