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Finding the Fourth Proportional to 339.38, 509.08 and 120.18

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Solution

The fourth proportional to 339.38, 509.08 and 120.18 is: 180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.38 : 509.08 = 120.18 : x
  2. Step 2: Convert to fraction form
    339.38/509.08 = 120.18/x
  3. Step 3: Cross multiply
    339.38x = 509.08 × 120.18
  4. Step 4: Simplify right side
    339.38x = 61,181.23
  5. Step 5: Solve for x
    x = 61,181.23/339.38
  6. Step 6: Final answer
    x = 180.27

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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.