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Finding the Fourth Proportional to 382.05, 573.10 and 150.91

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Solution

The fourth proportional to 382.05, 573.10 and 150.91 is: 226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.05 : 573.10 = 150.91 : x
  2. Step 2: Convert to fraction form
    382.05/573.10 = 150.91/x
  3. Step 3: Cross multiply
    382.05x = 573.10 × 150.91
  4. Step 4: Simplify right side
    382.05x = 86,484.71
  5. Step 5: Solve for x
    x = 86,484.71/382.05
  6. Step 6: Final answer
    x = 226.37

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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.