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Finding the Fourth Proportional to 234.20, 323.08 and 146.81

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Solution

The fourth proportional to 234.20, 323.08 and 146.81 is: 202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.20 : 323.08 = 146.81 : x
  2. Step 2: Convert to fraction form
    234.20/323.08 = 146.81/x
  3. Step 3: Cross multiply
    234.20x = 323.08 × 146.81
  4. Step 4: Simplify right side
    234.20x = 47,431.82
  5. Step 5: Solve for x
    x = 47,431.82/234.20
  6. Step 6: Final answer
    x = 202.52

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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.