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Finding the Fourth Proportional to 355.92, 534.26 and 202.15

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Solution

The fourth proportional to 355.92, 534.26 and 202.15 is: 303.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.92 : 534.26 = 202.15 : x
  2. Step 2: Convert to fraction form
    355.92/534.26 = 202.15/x
  3. Step 3: Cross multiply
    355.92x = 534.26 × 202.15
  4. Step 4: Simplify right side
    355.92x = 107,998.31
  5. Step 5: Solve for x
    x = 107,998.31/355.92
  6. Step 6: Final answer
    x = 303.43

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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.