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Finding the Fourth Proportional to 383.83, 575.77 and 123.83

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Solution

The fourth proportional to 383.83, 575.77 and 123.83 is: 185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.83 : 575.77 = 123.83 : x
  2. Step 2: Convert to fraction form
    383.83/575.77 = 123.83/x
  3. Step 3: Cross multiply
    383.83x = 575.77 × 123.83
  4. Step 4: Simplify right side
    383.83x = 71,299.43
  5. Step 5: Solve for x
    x = 71,299.43/383.83
  6. Step 6: Final answer
    x = 185.76

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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.