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Finding the Fourth Proportional to 196.33, 293.05 and 180.10

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Solution

The fourth proportional to 196.33, 293.05 and 180.10 is: 268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.33 : 293.05 = 180.10 : x
  2. Step 2: Convert to fraction form
    196.33/293.05 = 180.10/x
  3. Step 3: Cross multiply
    196.33x = 293.05 × 180.10
  4. Step 4: Simplify right side
    196.33x = 52,778.31
  5. Step 5: Solve for x
    x = 52,778.31/196.33
  6. Step 6: Final answer
    x = 268.82

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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.