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Finding the Fourth Proportional to 196.32, 294.21 and 173.64

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Solution

The fourth proportional to 196.32, 294.21 and 173.64 is: 260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.32 : 294.21 = 173.64 : x
  2. Step 2: Convert to fraction form
    196.32/294.21 = 173.64/x
  3. Step 3: Cross multiply
    196.32x = 294.21 × 173.64
  4. Step 4: Simplify right side
    196.32x = 51,086.62
  5. Step 5: Solve for x
    x = 51,086.62/196.32
  6. Step 6: Final answer
    x = 260.22

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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.