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Finding the Fourth Proportional to 406.87, 610.40 and 118.31

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Solution

The fourth proportional to 406.87, 610.40 and 118.31 is: 177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.87 : 610.40 = 118.31 : x
  2. Step 2: Convert to fraction form
    406.87/610.40 = 118.31/x
  3. Step 3: Cross multiply
    406.87x = 610.40 × 118.31
  4. Step 4: Simplify right side
    406.87x = 72,212.78
  5. Step 5: Solve for x
    x = 72,212.78/406.87
  6. Step 6: Final answer
    x = 177.48

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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.