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Finding the Fourth Proportional to 339.33, 509.01 and 119.95

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Solution

The fourth proportional to 339.33, 509.01 and 119.95 is: 179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.33 : 509.01 = 119.95 : x
  2. Step 2: Convert to fraction form
    339.33/509.01 = 119.95/x
  3. Step 3: Cross multiply
    339.33x = 509.01 × 119.95
  4. Step 4: Simplify right side
    339.33x = 61,055.75
  5. Step 5: Solve for x
    x = 61,055.75/339.33
  6. Step 6: Final answer
    x = 179.93

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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.