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Finding the Fourth Proportional to 535.16, 802.53 and 169.79

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Solution

The fourth proportional to 535.16, 802.53 and 169.79 is: 254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.16 : 802.53 = 169.79 : x
  2. Step 2: Convert to fraction form
    535.16/802.53 = 169.79/x
  3. Step 3: Cross multiply
    535.16x = 802.53 × 169.79
  4. Step 4: Simplify right side
    535.16x = 136,257.56
  5. Step 5: Solve for x
    x = 136,257.56/535.16
  6. Step 6: Final answer
    x = 254.61

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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.