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Finding the Fourth Proportional to 234.66, 351.87 and 137.35

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Solution

The fourth proportional to 234.66, 351.87 and 137.35 is: 205.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.66 : 351.87 = 137.35 : x
  2. Step 2: Convert to fraction form
    234.66/351.87 = 137.35/x
  3. Step 3: Cross multiply
    234.66x = 351.87 × 137.35
  4. Step 4: Simplify right side
    234.66x = 48,328.12
  5. Step 5: Solve for x
    x = 48,328.12/234.66
  6. Step 6: Final answer
    x = 205.95

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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.