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Finding the Fourth Proportional to 397.50, 596.25 and 181.09

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Solution

The fourth proportional to 397.50, 596.25 and 181.09 is: 271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.50 : 596.25 = 181.09 : x
  2. Step 2: Convert to fraction form
    397.50/596.25 = 181.09/x
  3. Step 3: Cross multiply
    397.50x = 596.25 × 181.09
  4. Step 4: Simplify right side
    397.50x = 107,974.01
  5. Step 5: Solve for x
    x = 107,974.01/397.50
  6. Step 6: Final answer
    x = 271.64

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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.