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Finding the Fourth Proportional to 355.32, 533.12 and 149.85

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Solution

The fourth proportional to 355.32, 533.12 and 149.85 is: 224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.32 : 533.12 = 149.85 : x
  2. Step 2: Convert to fraction form
    355.32/533.12 = 149.85/x
  3. Step 3: Cross multiply
    355.32x = 533.12 × 149.85
  4. Step 4: Simplify right side
    355.32x = 79,887.28
  5. Step 5: Solve for x
    x = 79,887.28/355.32
  6. Step 6: Final answer
    x = 224.83

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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.