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Finding the Fourth Proportional to 355.94, 533.91 and 150.27

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Solution

The fourth proportional to 355.94, 533.91 and 150.27 is: 225.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.94 : 533.91 = 150.27 : x
  2. Step 2: Convert to fraction form
    355.94/533.91 = 150.27/x
  3. Step 3: Cross multiply
    355.94x = 533.91 × 150.27
  4. Step 4: Simplify right side
    355.94x = 80,230.65
  5. Step 5: Solve for x
    x = 80,230.65/355.94
  6. Step 6: Final answer
    x = 225.41

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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.