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Finding the Fourth Proportional to 412.53, 618.26 and 181.36

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Solution

The fourth proportional to 412.53, 618.26 and 181.36 is: 271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.53 : 618.26 = 181.36 : x
  2. Step 2: Convert to fraction form
    412.53/618.26 = 181.36/x
  3. Step 3: Cross multiply
    412.53x = 618.26 × 181.36
  4. Step 4: Simplify right side
    412.53x = 112,126.54
  5. Step 5: Solve for x
    x = 112,126.54/412.53
  6. Step 6: Final answer
    x = 271.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.