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Finding the Fourth Proportional to 339.54, 509.13 and 120.14

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Solution

The fourth proportional to 339.54, 509.13 and 120.14 is: 180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.54 : 509.13 = 120.14 : x
  2. Step 2: Convert to fraction form
    339.54/509.13 = 120.14/x
  3. Step 3: Cross multiply
    339.54x = 509.13 × 120.14
  4. Step 4: Simplify right side
    339.54x = 61,166.88
  5. Step 5: Solve for x
    x = 61,166.88/339.54
  6. Step 6: Final answer
    x = 180.15

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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.