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Finding the Fourth Proportional to 169.12, 233.22 and 140.32

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Solution

The fourth proportional to 169.12, 233.22 and 140.32 is: 193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.12 : 233.22 = 140.32 : x
  2. Step 2: Convert to fraction form
    169.12/233.22 = 140.32/x
  3. Step 3: Cross multiply
    169.12x = 233.22 × 140.32
  4. Step 4: Simplify right side
    169.12x = 32,725.43
  5. Step 5: Solve for x
    x = 32,725.43/169.12
  6. Step 6: Final answer
    x = 193.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.