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Finding the Fourth Proportional to 234.01, 352.60 and 194.32

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Solution

The fourth proportional to 234.01, 352.60 and 194.32 is: 292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.01 : 352.60 = 194.32 : x
  2. Step 2: Convert to fraction form
    234.01/352.60 = 194.32/x
  3. Step 3: Cross multiply
    234.01x = 352.60 × 194.32
  4. Step 4: Simplify right side
    234.01x = 68,515.86
  5. Step 5: Solve for x
    x = 68,515.86/234.01
  6. Step 6: Final answer
    x = 292.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.