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Finding the Fourth Proportional to 355.96, 533.54 and 161.12

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Solution

The fourth proportional to 355.96, 533.54 and 161.12 is: 241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.96 : 533.54 = 161.12 : x
  2. Step 2: Convert to fraction form
    355.96/533.54 = 161.12/x
  3. Step 3: Cross multiply
    355.96x = 533.54 × 161.12
  4. Step 4: Simplify right side
    355.96x = 85,963.96
  5. Step 5: Solve for x
    x = 85,963.96/355.96
  6. Step 6: Final answer
    x = 241.50

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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.