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Finding the Fourth Proportional to 339.44, 509.16 and 195.44

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Solution

The fourth proportional to 339.44, 509.16 and 195.44 is: 293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.44 : 509.16 = 195.44 : x
  2. Step 2: Convert to fraction form
    339.44/509.16 = 195.44/x
  3. Step 3: Cross multiply
    339.44x = 509.16 × 195.44
  4. Step 4: Simplify right side
    339.44x = 99,510.23
  5. Step 5: Solve for x
    x = 99,510.23/339.44
  6. Step 6: Final answer
    x = 293.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.