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Finding the Fourth Proportional to 412.83, 619.23 and 166.14

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Solution

The fourth proportional to 412.83, 619.23 and 166.14 is: 249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.83 : 619.23 = 166.14 : x
  2. Step 2: Convert to fraction form
    412.83/619.23 = 166.14/x
  3. Step 3: Cross multiply
    412.83x = 619.23 × 166.14
  4. Step 4: Simplify right side
    412.83x = 102,878.87
  5. Step 5: Solve for x
    x = 102,878.87/412.83
  6. Step 6: Final answer
    x = 249.20

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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.