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Finding the Fourth Proportional to 535.18, 802.77 and 169.97

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Solution

The fourth proportional to 535.18, 802.77 and 169.97 is: 254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.18 : 802.77 = 169.97 : x
  2. Step 2: Convert to fraction form
    535.18/802.77 = 169.97/x
  3. Step 3: Cross multiply
    535.18x = 802.77 × 169.97
  4. Step 4: Simplify right side
    535.18x = 136,446.82
  5. Step 5: Solve for x
    x = 136,446.82/535.18
  6. Step 6: Final answer
    x = 254.96

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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.