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Finding the Fourth Proportional to 406.18, 609.07 and 186.74

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Solution

The fourth proportional to 406.18, 609.07 and 186.74 is: 280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.18 : 609.07 = 186.74 : x
  2. Step 2: Convert to fraction form
    406.18/609.07 = 186.74/x
  3. Step 3: Cross multiply
    406.18x = 609.07 × 186.74
  4. Step 4: Simplify right side
    406.18x = 113,737.73
  5. Step 5: Solve for x
    x = 113,737.73/406.18
  6. Step 6: Final answer
    x = 280.02

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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.