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Finding the Fourth Proportional to 406.16, 608.84 and 132.08

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Solution

The fourth proportional to 406.16, 608.84 and 132.08 is: 197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.16 : 608.84 = 132.08 : x
  2. Step 2: Convert to fraction form
    406.16/608.84 = 132.08/x
  3. Step 3: Cross multiply
    406.16x = 608.84 × 132.08
  4. Step 4: Simplify right side
    406.16x = 80,414.93
  5. Step 5: Solve for x
    x = 80,414.93/406.16
  6. Step 6: Final answer
    x = 197.99

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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.