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Finding the Fourth Proportional to 534.74, 802.22 and 169.54

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Solution

The fourth proportional to 534.74, 802.22 and 169.54 is: 254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.74 : 802.22 = 169.54 : x
  2. Step 2: Convert to fraction form
    534.74/802.22 = 169.54/x
  3. Step 3: Cross multiply
    534.74x = 802.22 × 169.54
  4. Step 4: Simplify right side
    534.74x = 136,008.38
  5. Step 5: Solve for x
    x = 136,008.38/534.74
  6. Step 6: Final answer
    x = 254.34

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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.