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Finding the Fourth Proportional to 339.56, 509.38 and 123.24

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Solution

The fourth proportional to 339.56, 509.38 and 123.24 is: 184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.56 : 509.38 = 123.24 : x
  2. Step 2: Convert to fraction form
    339.56/509.38 = 123.24/x
  3. Step 3: Cross multiply
    339.56x = 509.38 × 123.24
  4. Step 4: Simplify right side
    339.56x = 62,775.99
  5. Step 5: Solve for x
    x = 62,775.99/339.56
  6. Step 6: Final answer
    x = 184.87

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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.