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Finding the Fourth Proportional to 196.92, 295.32 and 151.32

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Solution

The fourth proportional to 196.92, 295.32 and 151.32 is: 226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.92 : 295.32 = 151.32 : x
  2. Step 2: Convert to fraction form
    196.92/295.32 = 151.32/x
  3. Step 3: Cross multiply
    196.92x = 295.32 × 151.32
  4. Step 4: Simplify right side
    196.92x = 44,687.82
  5. Step 5: Solve for x
    x = 44,687.82/196.92
  6. Step 6: Final answer
    x = 226.93

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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.