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Finding the Fourth Proportional to 406.88, 610.38 and 146.84

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Solution

The fourth proportional to 406.88, 610.38 and 146.84 is: 220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.88 : 610.38 = 146.84 : x
  2. Step 2: Convert to fraction form
    406.88/610.38 = 146.84/x
  3. Step 3: Cross multiply
    406.88x = 610.38 × 146.84
  4. Step 4: Simplify right side
    406.88x = 89,628.20
  5. Step 5: Solve for x
    x = 89,628.20/406.88
  6. Step 6: Final answer
    x = 220.28

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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.