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Finding the Fourth Proportional to 203.62, 304.86 and 141.79

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Solution

The fourth proportional to 203.62, 304.86 and 141.79 is: 212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.62 : 304.86 = 141.79 : x
  2. Step 2: Convert to fraction form
    203.62/304.86 = 141.79/x
  3. Step 3: Cross multiply
    203.62x = 304.86 × 141.79
  4. Step 4: Simplify right side
    203.62x = 43,226.10
  5. Step 5: Solve for x
    x = 43,226.10/203.62
  6. Step 6: Final answer
    x = 212.29

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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.