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Finding the Fourth Proportional to 535.20, 802.84 and 169.92

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Solution

The fourth proportional to 535.20, 802.84 and 169.92 is: 254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.20 : 802.84 = 169.92 : x
  2. Step 2: Convert to fraction form
    535.20/802.84 = 169.92/x
  3. Step 3: Cross multiply
    535.20x = 802.84 × 169.92
  4. Step 4: Simplify right side
    535.20x = 136,418.57
  5. Step 5: Solve for x
    x = 136,418.57/535.20
  6. Step 6: Final answer
    x = 254.89

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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.