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Finding the Fourth Proportional to 361.68, 499.20 and 237.28

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Solution

The fourth proportional to 361.68, 499.20 and 237.28 is: 327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.68 : 499.20 = 237.28 : x
  2. Step 2: Convert to fraction form
    361.68/499.20 = 237.28/x
  3. Step 3: Cross multiply
    361.68x = 499.20 × 237.28
  4. Step 4: Simplify right side
    361.68x = 118,450.18
  5. Step 5: Solve for x
    x = 118,450.18/361.68
  6. Step 6: Final answer
    x = 327.50

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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.