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Finding the Fourth Proportional to 196.17, 295.95 and 186.05

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Solution

The fourth proportional to 196.17, 295.95 and 186.05 is: 280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.17 : 295.95 = 186.05 : x
  2. Step 2: Convert to fraction form
    196.17/295.95 = 186.05/x
  3. Step 3: Cross multiply
    196.17x = 295.95 × 186.05
  4. Step 4: Simplify right side
    196.17x = 55,060.02
  5. Step 5: Solve for x
    x = 55,060.02/196.17
  6. Step 6: Final answer
    x = 280.68

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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.