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Finding the Fourth Proportional to 355.75, 533.54 and 112.24

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Solution

The fourth proportional to 355.75, 533.54 and 112.24 is: 168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.75 : 533.54 = 112.24 : x
  2. Step 2: Convert to fraction form
    355.75/533.54 = 112.24/x
  3. Step 3: Cross multiply
    355.75x = 533.54 × 112.24
  4. Step 4: Simplify right side
    355.75x = 59,883.97
  5. Step 5: Solve for x
    x = 59,883.97/355.75
  6. Step 6: Final answer
    x = 168.33

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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.