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Finding the Fourth Proportional to 361.98, 499.50 and 214.70

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Solution

The fourth proportional to 361.98, 499.50 and 214.70 is: 296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.98 : 499.50 = 214.70 : x
  2. Step 2: Convert to fraction form
    361.98/499.50 = 214.70/x
  3. Step 3: Cross multiply
    361.98x = 499.50 × 214.70
  4. Step 4: Simplify right side
    361.98x = 107,242.65
  5. Step 5: Solve for x
    x = 107,242.65/361.98
  6. Step 6: Final answer
    x = 296.27

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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.