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Finding the Fourth Proportional to 356.15, 533.81 and 150.41

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Solution

The fourth proportional to 356.15, 533.81 and 150.41 is: 225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.15 : 533.81 = 150.41 : x
  2. Step 2: Convert to fraction form
    356.15/533.81 = 150.41/x
  3. Step 3: Cross multiply
    356.15x = 533.81 × 150.41
  4. Step 4: Simplify right side
    356.15x = 80,286.94
  5. Step 5: Solve for x
    x = 80,286.94/356.15
  6. Step 6: Final answer
    x = 225.43

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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.