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Finding the Fourth Proportional to 383.20, 574.77 and 123.13

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Solution

The fourth proportional to 383.20, 574.77 and 123.13 is: 184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.20 : 574.77 = 123.13 : x
  2. Step 2: Convert to fraction form
    383.20/574.77 = 123.13/x
  3. Step 3: Cross multiply
    383.20x = 574.77 × 123.13
  4. Step 4: Simplify right side
    383.20x = 70,770.81
  5. Step 5: Solve for x
    x = 70,770.81/383.20
  6. Step 6: Final answer
    x = 184.69

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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.