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Finding the Fourth Proportional to 361.68, 499.10 and 214.32

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Solution

The fourth proportional to 361.68, 499.10 and 214.32 is: 295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.68 : 499.10 = 214.32 : x
  2. Step 2: Convert to fraction form
    361.68/499.10 = 214.32/x
  3. Step 3: Cross multiply
    361.68x = 499.10 × 214.32
  4. Step 4: Simplify right side
    361.68x = 106,967.11
  5. Step 5: Solve for x
    x = 106,967.11/361.68
  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.