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Finding the Fourth Proportional to 339.60, 509.00 and 194.61

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Solution

The fourth proportional to 339.60, 509.00 and 194.61 is: 291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.60 : 509.00 = 194.61 : x
  2. Step 2: Convert to fraction form
    339.60/509.00 = 194.61/x
  3. Step 3: Cross multiply
    339.60x = 509.00 × 194.61
  4. Step 4: Simplify right side
    339.60x = 99,055.52
  5. Step 5: Solve for x
    x = 99,055.52/339.60
  6. Step 6: Final answer
    x = 291.68

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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.