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Finding the Fourth Proportional to 234.94, 352.35 and 111.42

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Solution

The fourth proportional to 234.94, 352.35 and 111.42 is: 167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.94 : 352.35 = 111.42 : x
  2. Step 2: Convert to fraction form
    234.94/352.35 = 111.42/x
  3. Step 3: Cross multiply
    234.94x = 352.35 × 111.42
  4. Step 4: Simplify right side
    234.94x = 39,258.84
  5. Step 5: Solve for x
    x = 39,258.84/234.94
  6. Step 6: Final answer
    x = 167.10

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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.