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Finding the Fourth Proportional to 350.38, 525.42 and 133.88

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Solution

The fourth proportional to 350.38, 525.42 and 133.88 is: 200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.38 : 525.42 = 133.88 : x
  2. Step 2: Convert to fraction form
    350.38/525.42 = 133.88/x
  3. Step 3: Cross multiply
    350.38x = 525.42 × 133.88
  4. Step 4: Simplify right side
    350.38x = 70,343.23
  5. Step 5: Solve for x
    x = 70,343.23/350.38
  6. Step 6: Final answer
    x = 200.76

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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.