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Finding the Fourth Proportional to 221.50, 331.94 and 91.42

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Solution

The fourth proportional to 221.50, 331.94 and 91.42 is: 137.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.50 : 331.94 = 91.42 : x
  2. Step 2: Convert to fraction form
    221.50/331.94 = 91.42/x
  3. Step 3: Cross multiply
    221.50x = 331.94 × 91.42
  4. Step 4: Simplify right side
    221.50x = 30,345.95
  5. Step 5: Solve for x
    x = 30,345.95/221.50
  6. Step 6: Final answer
    x = 137.00

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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.