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Finding the Fourth Proportional to 350.08, 525.37 and 196.13

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Solution

The fourth proportional to 350.08, 525.37 and 196.13 is: 294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.08 : 525.37 = 196.13 : x
  2. Step 2: Convert to fraction form
    350.08/525.37 = 196.13/x
  3. Step 3: Cross multiply
    350.08x = 525.37 × 196.13
  4. Step 4: Simplify right side
    350.08x = 103,040.82
  5. Step 5: Solve for x
    x = 103,040.82/350.08
  6. Step 6: Final answer
    x = 294.34

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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.