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Finding the Fourth Proportional to 196.36, 293.74 and 173.72

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Solution

The fourth proportional to 196.36, 293.74 and 173.72 is: 259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.36 : 293.74 = 173.72 : x
  2. Step 2: Convert to fraction form
    196.36/293.74 = 173.72/x
  3. Step 3: Cross multiply
    196.36x = 293.74 × 173.72
  4. Step 4: Simplify right side
    196.36x = 51,028.51
  5. Step 5: Solve for x
    x = 51,028.51/196.36
  6. Step 6: Final answer
    x = 259.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.