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Finding the Fourth Proportional to 234.15, 351.02 and 125.82

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Solution

The fourth proportional to 234.15, 351.02 and 125.82 is: 188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.15 : 351.02 = 125.82 : x
  2. Step 2: Convert to fraction form
    234.15/351.02 = 125.82/x
  3. Step 3: Cross multiply
    234.15x = 351.02 × 125.82
  4. Step 4: Simplify right side
    234.15x = 44,164.71
  5. Step 5: Solve for x
    x = 44,164.71/234.15
  6. Step 6: Final answer
    x = 188.62

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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.