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Finding the Fourth Proportional to 221.69, 332.33 and 117.63

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Solution

The fourth proportional to 221.69, 332.33 and 117.63 is: 176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.69 : 332.33 = 117.63 : x
  2. Step 2: Convert to fraction form
    221.69/332.33 = 117.63/x
  3. Step 3: Cross multiply
    221.69x = 332.33 × 117.63
  4. Step 4: Simplify right side
    221.69x = 39,091.39
  5. Step 5: Solve for x
    x = 39,091.39/221.69
  6. Step 6: Final answer
    x = 176.33

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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.