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Finding the Fourth Proportional to 221.65, 305.93 and 137.68

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Solution

The fourth proportional to 221.65, 305.93 and 137.68 is: 190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.65 : 305.93 = 137.68 : x
  2. Step 2: Convert to fraction form
    221.65/305.93 = 137.68/x
  3. Step 3: Cross multiply
    221.65x = 305.93 × 137.68
  4. Step 4: Simplify right side
    221.65x = 42,120.97
  5. Step 5: Solve for x
    x = 42,120.97/221.65
  6. Step 6: Final answer
    x = 190.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.