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Finding the Fourth Proportional to 234.16, 350.70 and 138.04

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Solution

The fourth proportional to 234.16, 350.70 and 138.04 is: 206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.16 : 350.70 = 138.04 : x
  2. Step 2: Convert to fraction form
    234.16/350.70 = 138.04/x
  3. Step 3: Cross multiply
    234.16x = 350.70 × 138.04
  4. Step 4: Simplify right side
    234.16x = 48,410.63
  5. Step 5: Solve for x
    x = 48,410.63/234.16
  6. Step 6: Final answer
    x = 206.74

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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.