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Finding the Fourth Proportional to 234.32, 351.36 and 106

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Solution

The fourth proportional to 234.32, 351.36 and 106 is: 158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.32 : 351.36 = 106 : x
  2. Step 2: Convert to fraction form
    234.32/351.36 = 106/x
  3. Step 3: Cross multiply
    234.32x = 351.36 × 106
  4. Step 4: Simplify right side
    234.32x = 37,244.16
  5. Step 5: Solve for x
    x = 37,244.16/234.32
  6. Step 6: Final answer
    x = 158.95

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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.