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Finding the Fourth Proportional to 236.39, 354.56 and 99.42

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Solution

The fourth proportional to 236.39, 354.56 and 99.42 is: 149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.39 : 354.56 = 99.42 : x
  2. Step 2: Convert to fraction form
    236.39/354.56 = 99.42/x
  3. Step 3: Cross multiply
    236.39x = 354.56 × 99.42
  4. Step 4: Simplify right side
    236.39x = 35,249.86
  5. Step 5: Solve for x
    x = 35,249.86/236.39
  6. Step 6: Final answer
    x = 149.12

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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.