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Finding the Fourth Proportional to 270.98, 406.47 and 116.91

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Solution

The fourth proportional to 270.98, 406.47 and 116.91 is: 175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.98 : 406.47 = 116.91 : x
  2. Step 2: Convert to fraction form
    270.98/406.47 = 116.91/x
  3. Step 3: Cross multiply
    270.98x = 406.47 × 116.91
  4. Step 4: Simplify right side
    270.98x = 47,520.19
  5. Step 5: Solve for x
    x = 47,520.19/270.98
  6. Step 6: Final answer
    x = 175.37

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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.