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Finding the Fourth Proportional to 344.85, 516.82 and 162.00

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Solution

The fourth proportional to 344.85, 516.82 and 162.00 is: 242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.85 : 516.82 = 162.00 : x
  2. Step 2: Convert to fraction form
    344.85/516.82 = 162.00/x
  3. Step 3: Cross multiply
    344.85x = 516.82 × 162.00
  4. Step 4: Simplify right side
    344.85x = 83,722.26
  5. Step 5: Solve for x
    x = 83,722.26/344.85
  6. Step 6: Final answer
    x = 242.78

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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.