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Finding the Fourth Proportional to 160.57, 221.43 and 138.48

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Solution

The fourth proportional to 160.57, 221.43 and 138.48 is: 190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.57 : 221.43 = 138.48 : x
  2. Step 2: Convert to fraction form
    160.57/221.43 = 138.48/x
  3. Step 3: Cross multiply
    160.57x = 221.43 × 138.48
  4. Step 4: Simplify right side
    160.57x = 30,663.63
  5. Step 5: Solve for x
    x = 30,663.63/160.57
  6. Step 6: Final answer
    x = 190.97

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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.