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Finding the Fourth Proportional to 270.23, 372.97 and 159.70

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Solution

The fourth proportional to 270.23, 372.97 and 159.70 is: 220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.23 : 372.97 = 159.70 : x
  2. Step 2: Convert to fraction form
    270.23/372.97 = 159.70/x
  3. Step 3: Cross multiply
    270.23x = 372.97 × 159.70
  4. Step 4: Simplify right side
    270.23x = 59,563.31
  5. Step 5: Solve for x
    x = 59,563.31/270.23
  6. Step 6: Final answer
    x = 220.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.