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Finding the Fourth Proportional to 203.21, 305.43 and 178.91

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Solution

The fourth proportional to 203.21, 305.43 and 178.91 is: 268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.21 : 305.43 = 178.91 : x
  2. Step 2: Convert to fraction form
    203.21/305.43 = 178.91/x
  3. Step 3: Cross multiply
    203.21x = 305.43 × 178.91
  4. Step 4: Simplify right side
    203.21x = 54,645.65
  5. Step 5: Solve for x
    x = 54,645.65/203.21
  6. Step 6: Final answer
    x = 268.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.