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Finding the Fourth Proportional to 361.60, 499.01 and 214.25

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Solution

The fourth proportional to 361.60, 499.01 and 214.25 is: 295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.60 : 499.01 = 214.25 : x
  2. Step 2: Convert to fraction form
    361.60/499.01 = 214.25/x
  3. Step 3: Cross multiply
    361.60x = 499.01 × 214.25
  4. Step 4: Simplify right side
    361.60x = 106,909.33
  5. Step 5: Solve for x
    x = 106,909.33/361.60
  6. Step 6: Final answer
    x = 295.66

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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.