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Finding the Fourth Proportional to 235.70, 352.80 and 163.34

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Solution

The fourth proportional to 235.70, 352.80 and 163.34 is: 244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.70 : 352.80 = 163.34 : x
  2. Step 2: Convert to fraction form
    235.70/352.80 = 163.34/x
  3. Step 3: Cross multiply
    235.70x = 352.80 × 163.34
  4. Step 4: Simplify right side
    235.70x = 57,624.59
  5. Step 5: Solve for x
    x = 57,624.59/235.70
  6. Step 6: Final answer
    x = 244.49

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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.