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Finding the Fourth Proportional to 355.76, 533.76 and 150.44

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Solution

The fourth proportional to 355.76, 533.76 and 150.44 is: 225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.76 : 533.76 = 150.44 : x
  2. Step 2: Convert to fraction form
    355.76/533.76 = 150.44/x
  3. Step 3: Cross multiply
    355.76x = 533.76 × 150.44
  4. Step 4: Simplify right side
    355.76x = 80,298.85
  5. Step 5: Solve for x
    x = 80,298.85/355.76
  6. Step 6: Final answer
    x = 225.71

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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.