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Finding the Fourth Proportional to 381.47, 572.44 and 150.32

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Solution

The fourth proportional to 381.47, 572.44 and 150.32 is: 225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.47 : 572.44 = 150.32 : x
  2. Step 2: Convert to fraction form
    381.47/572.44 = 150.32/x
  3. Step 3: Cross multiply
    381.47x = 572.44 × 150.32
  4. Step 4: Simplify right side
    381.47x = 86,045.94
  5. Step 5: Solve for x
    x = 86,045.94/381.47
  6. Step 6: Final answer
    x = 225.57

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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.