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Finding the Fourth Proportional to 197, 271.64 and 177.36

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Solution

The fourth proportional to 197, 271.64 and 177.36 is: 244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197 : 271.64 = 177.36 : x
  2. Step 2: Convert to fraction form
    197/271.64 = 177.36/x
  3. Step 3: Cross multiply
    197x = 271.64 × 177.36
  4. Step 4: Simplify right side
    197x = 48,178.07
  5. Step 5: Solve for x
    x = 48,178.07/197
  6. Step 6: Final answer
    x = 244.56

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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.