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Finding the Fourth Proportional to 355.78, 533.71 and 112.24

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Solution

The fourth proportional to 355.78, 533.71 and 112.24 is: 168.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.78 : 533.71 = 112.24 : x
  2. Step 2: Convert to fraction form
    355.78/533.71 = 112.24/x
  3. Step 3: Cross multiply
    355.78x = 533.71 × 112.24
  4. Step 4: Simplify right side
    355.78x = 59,903.61
  5. Step 5: Solve for x
    x = 59,903.61/355.78
  6. Step 6: Final answer
    x = 168.37

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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.