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Finding the Fourth Proportional to 534.98, 802.49 and 169.77

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Solution

The fourth proportional to 534.98, 802.49 and 169.77 is: 254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.98 : 802.49 = 169.77 : x
  2. Step 2: Convert to fraction form
    534.98/802.49 = 169.77/x
  3. Step 3: Cross multiply
    534.98x = 802.49 × 169.77
  4. Step 4: Simplify right side
    534.98x = 136,237.88
  5. Step 5: Solve for x
    x = 136,237.88/534.98
  6. Step 6: Final answer
    x = 254.66

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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.