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Finding the Fourth Proportional to 350.38, 525.56 and 119.26

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Solution

The fourth proportional to 350.38, 525.56 and 119.26 is: 178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.38 : 525.56 = 119.26 : x
  2. Step 2: Convert to fraction form
    350.38/525.56 = 119.26/x
  3. Step 3: Cross multiply
    350.38x = 525.56 × 119.26
  4. Step 4: Simplify right side
    350.38x = 62,678.35
  5. Step 5: Solve for x
    x = 62,678.35/350.38
  6. Step 6: Final answer
    x = 178.89

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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.