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Finding the Fourth Proportional to 397.98, 597.42 and 182.00

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Solution

The fourth proportional to 397.98, 597.42 and 182.00 is: 273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.98 : 597.42 = 182.00 : x
  2. Step 2: Convert to fraction form
    397.98/597.42 = 182.00/x
  3. Step 3: Cross multiply
    397.98x = 597.42 × 182.00
  4. Step 4: Simplify right side
    397.98x = 108,731.93
  5. Step 5: Solve for x
    x = 108,731.93/397.98
  6. Step 6: Final answer
    x = 273.21

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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.