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Finding the Fourth Proportional to 344.12, 515.86 and 138.65

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Solution

The fourth proportional to 344.12, 515.86 and 138.65 is: 207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.12 : 515.86 = 138.65 : x
  2. Step 2: Convert to fraction form
    344.12/515.86 = 138.65/x
  3. Step 3: Cross multiply
    344.12x = 515.86 × 138.65
  4. Step 4: Simplify right side
    344.12x = 71,521.06
  5. Step 5: Solve for x
    x = 71,521.06/344.12
  6. Step 6: Final answer
    x = 207.84

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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.