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Finding the Fourth Proportional to 270.85, 406.17 and 148.94

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Solution

The fourth proportional to 270.85, 406.17 and 148.94 is: 223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.85 : 406.17 = 148.94 : x
  2. Step 2: Convert to fraction form
    270.85/406.17 = 148.94/x
  3. Step 3: Cross multiply
    270.85x = 406.17 × 148.94
  4. Step 4: Simplify right side
    270.85x = 60,495.98
  5. Step 5: Solve for x
    x = 60,495.98/270.85
  6. Step 6: Final answer
    x = 223.36

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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.