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Finding the Fourth Proportional to 358.19, 494.30 and 202.94

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Solution

The fourth proportional to 358.19, 494.30 and 202.94 is: 280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.19 : 494.30 = 202.94 : x
  2. Step 2: Convert to fraction form
    358.19/494.30 = 202.94/x
  3. Step 3: Cross multiply
    358.19x = 494.30 × 202.94
  4. Step 4: Simplify right side
    358.19x = 100,313.24
  5. Step 5: Solve for x
    x = 100,313.24/358.19
  6. Step 6: Final answer
    x = 280.06

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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.