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Finding the Fourth Proportional to 352.37, 486.26 and 205.03

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Solution

The fourth proportional to 352.37, 486.26 and 205.03 is: 282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.37 : 486.26 = 205.03 : x
  2. Step 2: Convert to fraction form
    352.37/486.26 = 205.03/x
  3. Step 3: Cross multiply
    352.37x = 486.26 × 205.03
  4. Step 4: Simplify right side
    352.37x = 99,697.89
  5. Step 5: Solve for x
    x = 99,697.89/352.37
  6. Step 6: Final answer
    x = 282.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.