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Finding the Fourth Proportional to 412.87, 618.97 and 181.57

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Solution

The fourth proportional to 412.87, 618.97 and 181.57 is: 272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.87 : 618.97 = 181.57 : x
  2. Step 2: Convert to fraction form
    412.87/618.97 = 181.57/x
  3. Step 3: Cross multiply
    412.87x = 618.97 × 181.57
  4. Step 4: Simplify right side
    412.87x = 112,383.63
  5. Step 5: Solve for x
    x = 112,383.63/412.87
  6. Step 6: Final answer
    x = 272.20

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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.