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Finding the Fourth Proportional to 196.15, 295.70 and 182.94

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Solution

The fourth proportional to 196.15, 295.70 and 182.94 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.15 : 295.70 = 182.94 : x
  2. Step 2: Convert to fraction form
    196.15/295.70 = 182.94/x
  3. Step 3: Cross multiply
    196.15x = 295.70 × 182.94
  4. Step 4: Simplify right side
    196.15x = 54,092.96
  5. Step 5: Solve for x
    x = 54,092.96/196.15
  6. Step 6: Final answer
    x = 275.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.