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Finding the Fourth Proportional to 169.83, 234.50 and 137.24

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Solution

The fourth proportional to 169.83, 234.50 and 137.24 is: 189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.83 : 234.50 = 137.24 : x
  2. Step 2: Convert to fraction form
    169.83/234.50 = 137.24/x
  3. Step 3: Cross multiply
    169.83x = 234.50 × 137.24
  4. Step 4: Simplify right side
    169.83x = 32,182.78
  5. Step 5: Solve for x
    x = 32,182.78/169.83
  6. Step 6: Final answer
    x = 189.50

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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.