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Finding the Fourth Proportional to 160.43, 221.28 and 143.06

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Solution

The fourth proportional to 160.43, 221.28 and 143.06 is: 197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.43 : 221.28 = 143.06 : x
  2. Step 2: Convert to fraction form
    160.43/221.28 = 143.06/x
  3. Step 3: Cross multiply
    160.43x = 221.28 × 143.06
  4. Step 4: Simplify right side
    160.43x = 31,655.21
  5. Step 5: Solve for x
    x = 31,655.21/160.43
  6. Step 6: Final answer
    x = 197.32

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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.