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Finding the Fourth Proportional to 160.29, 221.13 and 143.82

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Solution

The fourth proportional to 160.29, 221.13 and 143.82 is: 198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.29 : 221.13 = 143.82 : x
  2. Step 2: Convert to fraction form
    160.29/221.13 = 143.82/x
  3. Step 3: Cross multiply
    160.29x = 221.13 × 143.82
  4. Step 4: Simplify right side
    160.29x = 31,802.92
  5. Step 5: Solve for x
    x = 31,802.92/160.29
  6. Step 6: Final answer
    x = 198.41

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