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Finding the Fourth Proportional to 499.99, 749.91 and 191.86

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Solution

The fourth proportional to 499.99, 749.91 and 191.86 is: 287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.99 : 749.91 = 191.86 : x
  2. Step 2: Convert to fraction form
    499.99/749.91 = 191.86/x
  3. Step 3: Cross multiply
    499.99x = 749.91 × 191.86
  4. Step 4: Simplify right side
    499.99x = 143,877.73
  5. Step 5: Solve for x
    x = 143,877.73/499.99
  6. Step 6: Final answer
    x = 287.76

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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.