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Finding the Fourth Proportional to 344.46, 516.62 and 171.06

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Solution

The fourth proportional to 344.46, 516.62 and 171.06 is: 256.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.46 : 516.62 = 171.06 : x
  2. Step 2: Convert to fraction form
    344.46/516.62 = 171.06/x
  3. Step 3: Cross multiply
    344.46x = 516.62 × 171.06
  4. Step 4: Simplify right side
    344.46x = 88,373.02
  5. Step 5: Solve for x
    x = 88,373.02/344.46
  6. Step 6: Final answer
    x = 256.56

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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.