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Finding the Fourth Proportional to 361.30, 542.45 and 223.94

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Solution

The fourth proportional to 361.30, 542.45 and 223.94 is: 336.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.30 : 542.45 = 223.94 : x
  2. Step 2: Convert to fraction form
    361.30/542.45 = 223.94/x
  3. Step 3: Cross multiply
    361.30x = 542.45 × 223.94
  4. Step 4: Simplify right side
    361.30x = 121,474.10
  5. Step 5: Solve for x
    x = 121,474.10/361.30
  6. Step 6: Final answer
    x = 336.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.