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Finding the Fourth Proportional to 535.06, 802.62 and 169.84

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Solution

The fourth proportional to 535.06, 802.62 and 169.84 is: 254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.06 : 802.62 = 169.84 : x
  2. Step 2: Convert to fraction form
    535.06/802.62 = 169.84/x
  3. Step 3: Cross multiply
    535.06x = 802.62 × 169.84
  4. Step 4: Simplify right side
    535.06x = 136,316.98
  5. Step 5: Solve for x
    x = 136,316.98/535.06
  6. Step 6: Final answer
    x = 254.77

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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.