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Finding the Fourth Proportional to 361.65, 499.09 and 214.26

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Solution

The fourth proportional to 361.65, 499.09 and 214.26 is: 295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.65 : 499.09 = 214.26 : x
  2. Step 2: Convert to fraction form
    361.65/499.09 = 214.26/x
  3. Step 3: Cross multiply
    361.65x = 499.09 × 214.26
  4. Step 4: Simplify right side
    361.65x = 106,933.02
  5. Step 5: Solve for x
    x = 106,933.02/361.65
  6. Step 6: Final answer
    x = 295.68

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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.