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Finding the Fourth Proportional to 350.12, 524.84 and 196.12

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Solution

The fourth proportional to 350.12, 524.84 and 196.12 is: 293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.12 : 524.84 = 196.12 : x
  2. Step 2: Convert to fraction form
    350.12/524.84 = 196.12/x
  3. Step 3: Cross multiply
    350.12x = 524.84 × 196.12
  4. Step 4: Simplify right side
    350.12x = 102,931.62
  5. Step 5: Solve for x
    x = 102,931.62/350.12
  6. Step 6: Final answer
    x = 293.99

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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.