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Finding the Fourth Proportional to 535.22, 802.75 and 169.96

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Solution

The fourth proportional to 535.22, 802.75 and 169.96 is: 254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.22 : 802.75 = 169.96 : x
  2. Step 2: Convert to fraction form
    535.22/802.75 = 169.96/x
  3. Step 3: Cross multiply
    535.22x = 802.75 × 169.96
  4. Step 4: Simplify right side
    535.22x = 136,435.39
  5. Step 5: Solve for x
    x = 136,435.39/535.22
  6. Step 6: Final answer
    x = 254.91

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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.