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Finding the Fourth Proportional to 380.86, 571.00 and 149.63

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Solution

The fourth proportional to 380.86, 571.00 and 149.63 is: 224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.86 : 571.00 = 149.63 : x
  2. Step 2: Convert to fraction form
    380.86/571.00 = 149.63/x
  3. Step 3: Cross multiply
    380.86x = 571.00 × 149.63
  4. Step 4: Simplify right side
    380.86x = 85,437.22
  5. Step 5: Solve for x
    x = 85,437.22/380.86
  6. Step 6: Final answer
    x = 224.33

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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.