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Finding the Fourth Proportional to 196.89, 293.88 and 173.83

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Solution

The fourth proportional to 196.89, 293.88 and 173.83 is: 259.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.89 : 293.88 = 173.83 : x
  2. Step 2: Convert to fraction form
    196.89/293.88 = 173.83/x
  3. Step 3: Cross multiply
    196.89x = 293.88 × 173.83
  4. Step 4: Simplify right side
    196.89x = 51,082.82
  5. Step 5: Solve for x
    x = 51,082.82/196.89
  6. Step 6: Final answer
    x = 259.45

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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.