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Finding the Fourth Proportional to 381.14, 571.74 and 164.90

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Solution

The fourth proportional to 381.14, 571.74 and 164.90 is: 247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.14 : 571.74 = 164.90 : x
  2. Step 2: Convert to fraction form
    381.14/571.74 = 164.90/x
  3. Step 3: Cross multiply
    381.14x = 571.74 × 164.90
  4. Step 4: Simplify right side
    381.14x = 94,279.93
  5. Step 5: Solve for x
    x = 94,279.93/381.14
  6. Step 6: Final answer
    x = 247.36

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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.