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Finding the Fourth Proportional to 355.89, 533.84 and 112.42

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Solution

The fourth proportional to 355.89, 533.84 and 112.42 is: 168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.89 : 533.84 = 112.42 : x
  2. Step 2: Convert to fraction form
    355.89/533.84 = 112.42/x
  3. Step 3: Cross multiply
    355.89x = 533.84 × 112.42
  4. Step 4: Simplify right side
    355.89x = 60,011.06
  5. Step 5: Solve for x
    x = 60,011.06/355.89
  6. Step 6: Final answer
    x = 168.62

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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.