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Finding the Fourth Proportional to 339.80, 509.38 and 123.22

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Solution

The fourth proportional to 339.80, 509.38 and 123.22 is: 184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.80 : 509.38 = 123.22 : x
  2. Step 2: Convert to fraction form
    339.80/509.38 = 123.22/x
  3. Step 3: Cross multiply
    339.80x = 509.38 × 123.22
  4. Step 4: Simplify right side
    339.80x = 62,765.80
  5. Step 5: Solve for x
    x = 62,765.80/339.80
  6. Step 6: Final answer
    x = 184.71

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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.