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Finding the Fourth Proportional to 221.86, 332.77 and 100.12

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Solution

The fourth proportional to 221.86, 332.77 and 100.12 is: 150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.86 : 332.77 = 100.12 : x
  2. Step 2: Convert to fraction form
    221.86/332.77 = 100.12/x
  3. Step 3: Cross multiply
    221.86x = 332.77 × 100.12
  4. Step 4: Simplify right side
    221.86x = 33,316.93
  5. Step 5: Solve for x
    x = 33,316.93/221.86
  6. Step 6: Final answer
    x = 150.17

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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.