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Finding the Fourth Proportional to 175.94, 262.65 and 169.10

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Solution

The fourth proportional to 175.94, 262.65 and 169.10 is: 252.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.94 : 262.65 = 169.10 : x
  2. Step 2: Convert to fraction form
    175.94/262.65 = 169.10/x
  3. Step 3: Cross multiply
    175.94x = 262.65 × 169.10
  4. Step 4: Simplify right side
    175.94x = 44,414.12
  5. Step 5: Solve for x
    x = 44,414.12/175.94
  6. Step 6: Final answer
    x = 252.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.