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Finding the Fourth Proportional to 428.12, 642.17 and 119.97

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Solution

The fourth proportional to 428.12, 642.17 and 119.97 is: 179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.12 : 642.17 = 119.97 : x
  2. Step 2: Convert to fraction form
    428.12/642.17 = 119.97/x
  3. Step 3: Cross multiply
    428.12x = 642.17 × 119.97
  4. Step 4: Simplify right side
    428.12x = 77,037.32
  5. Step 5: Solve for x
    x = 77,037.32/428.12
  6. Step 6: Final answer
    x = 179.94

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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.