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Finding the Fourth Proportional to 344.61, 516.47 and 182.16

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Solution

The fourth proportional to 344.61, 516.47 and 182.16 is: 273.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.61 : 516.47 = 182.16 : x
  2. Step 2: Convert to fraction form
    344.61/516.47 = 182.16/x
  3. Step 3: Cross multiply
    344.61x = 516.47 × 182.16
  4. Step 4: Simplify right side
    344.61x = 94,079.26
  5. Step 5: Solve for x
    x = 94,079.26/344.61
  6. Step 6: Final answer
    x = 273.00

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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.