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Finding the Fourth Proportional to 344.44, 516.68 and 97.64

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Solution

The fourth proportional to 344.44, 516.68 and 97.64 is: 146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.44 : 516.68 = 97.64 : x
  2. Step 2: Convert to fraction form
    344.44/516.68 = 97.64/x
  3. Step 3: Cross multiply
    344.44x = 516.68 × 97.64
  4. Step 4: Simplify right side
    344.44x = 50,449.53
  5. Step 5: Solve for x
    x = 50,449.53/344.44
  6. Step 6: Final answer
    x = 146.47

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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.