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Finding the Fourth Proportional to 339.66, 509.46 and 108.65

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Solution

The fourth proportional to 339.66, 509.46 and 108.65 is: 162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.66 : 509.46 = 108.65 : x
  2. Step 2: Convert to fraction form
    339.66/509.46 = 108.65/x
  3. Step 3: Cross multiply
    339.66x = 509.46 × 108.65
  4. Step 4: Simplify right side
    339.66x = 55,350.28
  5. Step 5: Solve for x
    x = 55,350.28/339.66
  6. Step 6: Final answer
    x = 162.96

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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.