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Finding the Fourth Proportional to 196.96, 295.22 and 142.82

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Solution

The fourth proportional to 196.96, 295.22 and 142.82 is: 214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.96 : 295.22 = 142.82 : x
  2. Step 2: Convert to fraction form
    196.96/295.22 = 142.82/x
  3. Step 3: Cross multiply
    196.96x = 295.22 × 142.82
  4. Step 4: Simplify right side
    196.96x = 42,163.32
  5. Step 5: Solve for x
    x = 42,163.32/196.96
  6. Step 6: Final answer
    x = 214.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.