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Finding the Fourth Proportional to 534.41, 801.61 and 164.22

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Solution

The fourth proportional to 534.41, 801.61 and 164.22 is: 246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.41 : 801.61 = 164.22 : x
  2. Step 2: Convert to fraction form
    534.41/801.61 = 164.22/x
  3. Step 3: Cross multiply
    534.41x = 801.61 × 164.22
  4. Step 4: Simplify right side
    534.41x = 131,640.39
  5. Step 5: Solve for x
    x = 131,640.39/534.41
  6. Step 6: Final answer
    x = 246.33

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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.