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Finding the Fourth Proportional to 236.22, 354 and 114.32

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Solution

The fourth proportional to 236.22, 354 and 114.32 is: 171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.22 : 354 = 114.32 : x
  2. Step 2: Convert to fraction form
    236.22/354 = 114.32/x
  3. Step 3: Cross multiply
    236.22x = 354 × 114.32
  4. Step 4: Simplify right side
    236.22x = 40,469.28
  5. Step 5: Solve for x
    x = 40,469.28/236.22
  6. Step 6: Final answer
    x = 171.32

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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.