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Finding the Fourth Proportional to 356.56, 534.22 and 161.25

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Solution

The fourth proportional to 356.56, 534.22 and 161.25 is: 241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.56 : 534.22 = 161.25 : x
  2. Step 2: Convert to fraction form
    356.56/534.22 = 161.25/x
  3. Step 3: Cross multiply
    356.56x = 534.22 × 161.25
  4. Step 4: Simplify right side
    356.56x = 86,142.98
  5. Step 5: Solve for x
    x = 86,142.98/356.56
  6. Step 6: Final answer
    x = 241.59

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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.