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Finding the Fourth Proportional to 358.23, 494.37 and 202.98

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Solution

The fourth proportional to 358.23, 494.37 and 202.98 is: 280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.23 : 494.37 = 202.98 : x
  2. Step 2: Convert to fraction form
    358.23/494.37 = 202.98/x
  3. Step 3: Cross multiply
    358.23x = 494.37 × 202.98
  4. Step 4: Simplify right side
    358.23x = 100,347.22
  5. Step 5: Solve for x
    x = 100,347.22/358.23
  6. Step 6: Final answer
    x = 280.12

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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.