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Finding the Fourth Proportional to 204.86, 282.61 and 197

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Solution

The fourth proportional to 204.86, 282.61 and 197 is: 271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.86 : 282.61 = 197 : x
  2. Step 2: Convert to fraction form
    204.86/282.61 = 197/x
  3. Step 3: Cross multiply
    204.86x = 282.61 × 197
  4. Step 4: Simplify right side
    204.86x = 55,674.17
  5. Step 5: Solve for x
    x = 55,674.17/204.86
  6. Step 6: Final answer
    x = 271.77

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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.