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Finding the Fourth Proportional to 534.75, 802.23 and 169.51

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Solution

The fourth proportional to 534.75, 802.23 and 169.51 is: 254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.75 : 802.23 = 169.51 : x
  2. Step 2: Convert to fraction form
    534.75/802.23 = 169.51/x
  3. Step 3: Cross multiply
    534.75x = 802.23 × 169.51
  4. Step 4: Simplify right side
    534.75x = 135,986.01
  5. Step 5: Solve for x
    x = 135,986.01/534.75
  6. Step 6: Final answer
    x = 254.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.