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Finding the Fourth Proportional to 234.42, 350.87 and 164.66

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Solution

The fourth proportional to 234.42, 350.87 and 164.66 is: 246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.42 : 350.87 = 164.66 : x
  2. Step 2: Convert to fraction form
    234.42/350.87 = 164.66/x
  3. Step 3: Cross multiply
    234.42x = 350.87 × 164.66
  4. Step 4: Simplify right side
    234.42x = 57,774.25
  5. Step 5: Solve for x
    x = 57,774.25/234.42
  6. Step 6: Final answer
    x = 246.46

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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.