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Finding the Fourth Proportional to 234.88, 352.30 and 106.64

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Solution

The fourth proportional to 234.88, 352.30 and 106.64 is: 159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.88 : 352.30 = 106.64 : x
  2. Step 2: Convert to fraction form
    234.88/352.30 = 106.64/x
  3. Step 3: Cross multiply
    234.88x = 352.30 × 106.64
  4. Step 4: Simplify right side
    234.88x = 37,569.27
  5. Step 5: Solve for x
    x = 37,569.27/234.88
  6. Step 6: Final answer
    x = 159.95

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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.