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Finding the Fourth Proportional to 383.22, 574.57 and 123.14

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Solution

The fourth proportional to 383.22, 574.57 and 123.14 is: 184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.22 : 574.57 = 123.14 : x
  2. Step 2: Convert to fraction form
    383.22/574.57 = 123.14/x
  3. Step 3: Cross multiply
    383.22x = 574.57 × 123.14
  4. Step 4: Simplify right side
    383.22x = 70,751.93
  5. Step 5: Solve for x
    x = 70,751.93/383.22
  6. Step 6: Final answer
    x = 184.62

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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.