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Finding the Fourth Proportional to 236.17, 353.94 and 114.43

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Solution

The fourth proportional to 236.17, 353.94 and 114.43 is: 171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.17 : 353.94 = 114.43 : x
  2. Step 2: Convert to fraction form
    236.17/353.94 = 114.43/x
  3. Step 3: Cross multiply
    236.17x = 353.94 × 114.43
  4. Step 4: Simplify right side
    236.17x = 40,501.35
  5. Step 5: Solve for x
    x = 40,501.35/236.17
  6. Step 6: Final answer
    x = 171.49

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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.