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Finding the Fourth Proportional to 358.00, 494.13 and 218.21

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Solution

The fourth proportional to 358.00, 494.13 and 218.21 is: 301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.00 : 494.13 = 218.21 : x
  2. Step 2: Convert to fraction form
    358.00/494.13 = 218.21/x
  3. Step 3: Cross multiply
    358.00x = 494.13 × 218.21
  4. Step 4: Simplify right side
    358.00x = 107,821.23
  5. Step 5: Solve for x
    x = 107,821.23/358.00
  6. Step 6: Final answer
    x = 301.18

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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.