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Finding the Fourth Proportional to 196.56, 293.37 and 177.12

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Solution

The fourth proportional to 196.56, 293.37 and 177.12 is: 264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.56 : 293.37 = 177.12 : x
  2. Step 2: Convert to fraction form
    196.56/293.37 = 177.12/x
  3. Step 3: Cross multiply
    196.56x = 293.37 × 177.12
  4. Step 4: Simplify right side
    196.56x = 51,961.69
  5. Step 5: Solve for x
    x = 51,961.69/196.56
  6. Step 6: Final answer
    x = 264.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.