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Finding the Fourth Proportional to 344.10, 515.30 and 199.38

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Solution

The fourth proportional to 344.10, 515.30 and 199.38 is: 298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.10 : 515.30 = 199.38 : x
  2. Step 2: Convert to fraction form
    344.10/515.30 = 199.38/x
  3. Step 3: Cross multiply
    344.10x = 515.30 × 199.38
  4. Step 4: Simplify right side
    344.10x = 102,740.51
  5. Step 5: Solve for x
    x = 102,740.51/344.10
  6. Step 6: Final answer
    x = 298.58

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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.