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Finding the Fourth Proportional to 234.11, 350.75 and 152.75

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Solution

The fourth proportional to 234.11, 350.75 and 152.75 is: 228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.11 : 350.75 = 152.75 : x
  2. Step 2: Convert to fraction form
    234.11/350.75 = 152.75/x
  3. Step 3: Cross multiply
    234.11x = 350.75 × 152.75
  4. Step 4: Simplify right side
    234.11x = 53,576.30
  5. Step 5: Solve for x
    x = 53,576.30/234.11
  6. Step 6: Final answer
    x = 228.85

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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.