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Finding the Fourth Proportional to 352.25, 528.01 and 169.26

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Solution

The fourth proportional to 352.25, 528.01 and 169.26 is: 253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.25 : 528.01 = 169.26 : x
  2. Step 2: Convert to fraction form
    352.25/528.01 = 169.26/x
  3. Step 3: Cross multiply
    352.25x = 528.01 × 169.26
  4. Step 4: Simplify right side
    352.25x = 89,370.55
  5. Step 5: Solve for x
    x = 89,370.55/352.25
  6. Step 6: Final answer
    x = 253.71

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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.