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Finding the Fourth Proportional to 534.85, 802.36 and 169.56

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Solution

The fourth proportional to 534.85, 802.36 and 169.56 is: 254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.85 : 802.36 = 169.56 : x
  2. Step 2: Convert to fraction form
    534.85/802.36 = 169.56/x
  3. Step 3: Cross multiply
    534.85x = 802.36 × 169.56
  4. Step 4: Simplify right side
    534.85x = 136,048.16
  5. Step 5: Solve for x
    x = 136,048.16/534.85
  6. Step 6: Final answer
    x = 254.37

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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.