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Finding the Fourth Proportional to 355.91, 533.78 and 150.38

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Solution

The fourth proportional to 355.91, 533.78 and 150.38 is: 225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.91 : 533.78 = 150.38 : x
  2. Step 2: Convert to fraction form
    355.91/533.78 = 150.38/x
  3. Step 3: Cross multiply
    355.91x = 533.78 × 150.38
  4. Step 4: Simplify right side
    355.91x = 80,267.17
  5. Step 5: Solve for x
    x = 80,267.17/355.91
  6. Step 6: Final answer
    x = 225.53

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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.