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Finding the Fourth Proportional to 361.89, 498.96 and 245.25

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Solution

The fourth proportional to 361.89, 498.96 and 245.25 is: 338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.89 : 498.96 = 245.25 : x
  2. Step 2: Convert to fraction form
    361.89/498.96 = 245.25/x
  3. Step 3: Cross multiply
    361.89x = 498.96 × 245.25
  4. Step 4: Simplify right side
    361.89x = 122,369.94
  5. Step 5: Solve for x
    x = 122,369.94/361.89
  6. Step 6: Final answer
    x = 338.14

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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.