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Finding the Fourth Proportional to 406.63, 609.96 and 118.09

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Solution

The fourth proportional to 406.63, 609.96 and 118.09 is: 177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.63 : 609.96 = 118.09 : x
  2. Step 2: Convert to fraction form
    406.63/609.96 = 118.09/x
  3. Step 3: Cross multiply
    406.63x = 609.96 × 118.09
  4. Step 4: Simplify right side
    406.63x = 72,027.13
  5. Step 5: Solve for x
    x = 72,027.13/406.63
  6. Step 6: Final answer
    x = 177.13

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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.