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Finding the Fourth Proportional to 236.47, 354.42 and 119.09

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Solution

The fourth proportional to 236.47, 354.42 and 119.09 is: 178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.47 : 354.42 = 119.09 : x
  2. Step 2: Convert to fraction form
    236.47/354.42 = 119.09/x
  3. Step 3: Cross multiply
    236.47x = 354.42 × 119.09
  4. Step 4: Simplify right side
    236.47x = 42,207.88
  5. Step 5: Solve for x
    x = 42,207.88/236.47
  6. Step 6: Final answer
    x = 178.49

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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.