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Finding the Fourth Proportional to 361.24, 498.49 and 213.89

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Solution

The fourth proportional to 361.24, 498.49 and 213.89 is: 295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.24 : 498.49 = 213.89 : x
  2. Step 2: Convert to fraction form
    361.24/498.49 = 213.89/x
  3. Step 3: Cross multiply
    361.24x = 498.49 × 213.89
  4. Step 4: Simplify right side
    361.24x = 106,619.00
  5. Step 5: Solve for x
    x = 106,619.00/361.24
  6. Step 6: Final answer
    x = 295.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.