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Finding the Fourth Proportional to 339.43, 509.14 and 193.10

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Solution

The fourth proportional to 339.43, 509.14 and 193.10 is: 289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.43 : 509.14 = 193.10 : x
  2. Step 2: Convert to fraction form
    339.43/509.14 = 193.10/x
  3. Step 3: Cross multiply
    339.43x = 509.14 × 193.10
  4. Step 4: Simplify right side
    339.43x = 98,314.54
  5. Step 5: Solve for x
    x = 98,314.54/339.43
  6. Step 6: Final answer
    x = 289.65

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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.