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Finding the Fourth Proportional to 535.14, 802.68 and 169.80

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Solution

The fourth proportional to 535.14, 802.68 and 169.80 is: 254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.14 : 802.68 = 169.80 : x
  2. Step 2: Convert to fraction form
    535.14/802.68 = 169.80/x
  3. Step 3: Cross multiply
    535.14x = 802.68 × 169.80
  4. Step 4: Simplify right side
    535.14x = 136,295.06
  5. Step 5: Solve for x
    x = 136,295.06/535.14
  6. Step 6: Final answer
    x = 254.69

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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.