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Finding the Fourth Proportional to 364.26, 545.92 and 169.24

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Solution

The fourth proportional to 364.26, 545.92 and 169.24 is: 253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.26 : 545.92 = 169.24 : x
  2. Step 2: Convert to fraction form
    364.26/545.92 = 169.24/x
  3. Step 3: Cross multiply
    364.26x = 545.92 × 169.24
  4. Step 4: Simplify right side
    364.26x = 92,391.50
  5. Step 5: Solve for x
    x = 92,391.50/364.26
  6. Step 6: Final answer
    x = 253.64

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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.