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Finding the Fourth Proportional to 412.36, 618.32 and 180.98

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Solution

The fourth proportional to 412.36, 618.32 and 180.98 is: 271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.36 : 618.32 = 180.98 : x
  2. Step 2: Convert to fraction form
    412.36/618.32 = 180.98/x
  3. Step 3: Cross multiply
    412.36x = 618.32 × 180.98
  4. Step 4: Simplify right side
    412.36x = 111,902.22
  5. Step 5: Solve for x
    x = 111,902.22/412.36
  6. Step 6: Final answer
    x = 271.37

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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.