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Finding the Fourth Proportional to 406.06, 608.61 and 162.66

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Solution

The fourth proportional to 406.06, 608.61 and 162.66 is: 243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.06 : 608.61 = 162.66 : x
  2. Step 2: Convert to fraction form
    406.06/608.61 = 162.66/x
  3. Step 3: Cross multiply
    406.06x = 608.61 × 162.66
  4. Step 4: Simplify right side
    406.06x = 98,996.50
  5. Step 5: Solve for x
    x = 98,996.50/406.06
  6. Step 6: Final answer
    x = 243.80

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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.