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Finding the Fourth Proportional to 361.67, 499.10 and 214.31

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Solution

The fourth proportional to 361.67, 499.10 and 214.31 is: 295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.67 : 499.10 = 214.31 : x
  2. Step 2: Convert to fraction form
    361.67/499.10 = 214.31/x
  3. Step 3: Cross multiply
    361.67x = 499.10 × 214.31
  4. Step 4: Simplify right side
    361.67x = 106,962.12
  5. Step 5: Solve for x
    x = 106,962.12/361.67
  6. Step 6: Final answer
    x = 295.75

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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.