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Finding the Fourth Proportional to 236.44, 354.30 and 114.76

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Solution

The fourth proportional to 236.44, 354.30 and 114.76 is: 171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.44 : 354.30 = 114.76 : x
  2. Step 2: Convert to fraction form
    236.44/354.30 = 114.76/x
  3. Step 3: Cross multiply
    236.44x = 354.30 × 114.76
  4. Step 4: Simplify right side
    236.44x = 40,659.47
  5. Step 5: Solve for x
    x = 40,659.47/236.44
  6. Step 6: Final answer
    x = 171.97

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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.