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Finding the Fourth Proportional to 236.26, 354.32 and 106.24

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Solution

The fourth proportional to 236.26, 354.32 and 106.24 is: 159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.26 : 354.32 = 106.24 : x
  2. Step 2: Convert to fraction form
    236.26/354.32 = 106.24/x
  3. Step 3: Cross multiply
    236.26x = 354.32 × 106.24
  4. Step 4: Simplify right side
    236.26x = 37,642.96
  5. Step 5: Solve for x
    x = 37,642.96/236.26
  6. Step 6: Final answer
    x = 159.33

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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.