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Finding the Fourth Proportional to 361.68, 499.16 and 230.68

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Solution

The fourth proportional to 361.68, 499.16 and 230.68 is: 318.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.68 : 499.16 = 230.68 : x
  2. Step 2: Convert to fraction form
    361.68/499.16 = 230.68/x
  3. Step 3: Cross multiply
    361.68x = 499.16 × 230.68
  4. Step 4: Simplify right side
    361.68x = 115,146.23
  5. Step 5: Solve for x
    x = 115,146.23/361.68
  6. Step 6: Final answer
    x = 318.36

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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.