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Finding the Fourth Proportional to 355.99, 534.05 and 150.56

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Solution

The fourth proportional to 355.99, 534.05 and 150.56 is: 225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.99 : 534.05 = 150.56 : x
  2. Step 2: Convert to fraction form
    355.99/534.05 = 150.56/x
  3. Step 3: Cross multiply
    355.99x = 534.05 × 150.56
  4. Step 4: Simplify right side
    355.99x = 80,404.27
  5. Step 5: Solve for x
    x = 80,404.27/355.99
  6. Step 6: Final answer
    x = 225.86

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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.