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Finding the Fourth Proportional to 160.22, 220.92 and 142.80

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Solution

The fourth proportional to 160.22, 220.92 and 142.80 is: 196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.22 : 220.92 = 142.80 : x
  2. Step 2: Convert to fraction form
    160.22/220.92 = 142.80/x
  3. Step 3: Cross multiply
    160.22x = 220.92 × 142.80
  4. Step 4: Simplify right side
    160.22x = 31,547.38
  5. Step 5: Solve for x
    x = 31,547.38/160.22
  6. Step 6: Final answer
    x = 196.90

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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.