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Finding the Fourth Proportional to 270.98, 406.48 and 149.30

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Solution

The fourth proportional to 270.98, 406.48 and 149.30 is: 223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.98 : 406.48 = 149.30 : x
  2. Step 2: Convert to fraction form
    270.98/406.48 = 149.30/x
  3. Step 3: Cross multiply
    270.98x = 406.48 × 149.30
  4. Step 4: Simplify right side
    270.98x = 60,687.46
  5. Step 5: Solve for x
    x = 60,687.46/270.98
  6. Step 6: Final answer
    x = 223.96

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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.