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Finding the Fourth Proportional to 221.90, 332.85 and 100.16

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Solution

The fourth proportional to 221.90, 332.85 and 100.16 is: 150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.90 : 332.85 = 100.16 : x
  2. Step 2: Convert to fraction form
    221.90/332.85 = 100.16/x
  3. Step 3: Cross multiply
    221.90x = 332.85 × 100.16
  4. Step 4: Simplify right side
    221.90x = 33,336.59
  5. Step 5: Solve for x
    x = 33,336.59/221.90
  6. Step 6: Final answer
    x = 150.24

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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.