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Finding the Fourth Proportional to 234.77, 352.06 and 80.65

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Solution

The fourth proportional to 234.77, 352.06 and 80.65 is: 120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.77 : 352.06 = 80.65 : x
  2. Step 2: Convert to fraction form
    234.77/352.06 = 80.65/x
  3. Step 3: Cross multiply
    234.77x = 352.06 × 80.65
  4. Step 4: Simplify right side
    234.77x = 28,393.64
  5. Step 5: Solve for x
    x = 28,393.64/234.77
  6. Step 6: Final answer
    x = 120.94

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Why These Related Problems?

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