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Finding the Fourth Proportional to 361.02, 498.16 and 213.63

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Solution

The fourth proportional to 361.02, 498.16 and 213.63 is: 294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.02 : 498.16 = 213.63 : x
  2. Step 2: Convert to fraction form
    361.02/498.16 = 213.63/x
  3. Step 3: Cross multiply
    361.02x = 498.16 × 213.63
  4. Step 4: Simplify right side
    361.02x = 106,421.92
  5. Step 5: Solve for x
    x = 106,421.92/361.02
  6. Step 6: Final answer
    x = 294.78

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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.