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Finding the Fourth Proportional to 344.67, 516.30 and 162.24

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Solution

The fourth proportional to 344.67, 516.30 and 162.24 is: 243.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.67 : 516.30 = 162.24 : x
  2. Step 2: Convert to fraction form
    344.67/516.30 = 162.24/x
  3. Step 3: Cross multiply
    344.67x = 516.30 × 162.24
  4. Step 4: Simplify right side
    344.67x = 83,764.51
  5. Step 5: Solve for x
    x = 83,764.51/344.67
  6. Step 6: Final answer
    x = 243.03

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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.