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Finding the Fourth Proportional to 221.09, 330.15 and 193.75

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Solution

The fourth proportional to 221.09, 330.15 and 193.75 is: 289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.09 : 330.15 = 193.75 : x
  2. Step 2: Convert to fraction form
    221.09/330.15 = 193.75/x
  3. Step 3: Cross multiply
    221.09x = 330.15 × 193.75
  4. Step 4: Simplify right side
    221.09x = 63,966.56
  5. Step 5: Solve for x
    x = 63,966.56/221.09
  6. Step 6: Final answer
    x = 289.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.