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Finding the Fourth Proportional to 361.13, 498.26 and 213.80

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Solution

The fourth proportional to 361.13, 498.26 and 213.80 is: 294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.13 : 498.26 = 213.80 : x
  2. Step 2: Convert to fraction form
    361.13/498.26 = 213.80/x
  3. Step 3: Cross multiply
    361.13x = 498.26 × 213.80
  4. Step 4: Simplify right side
    361.13x = 106,528.16
  5. Step 5: Solve for x
    x = 106,528.16/361.13
  6. Step 6: Final answer
    x = 294.99

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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.