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Finding the Fourth Proportional to 361.76, 542.64 and 105.24

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Solution

The fourth proportional to 361.76, 542.64 and 105.24 is: 157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.76 : 542.64 = 105.24 : x
  2. Step 2: Convert to fraction form
    361.76/542.64 = 105.24/x
  3. Step 3: Cross multiply
    361.76x = 542.64 × 105.24
  4. Step 4: Simplify right side
    361.76x = 57,107.43
  5. Step 5: Solve for x
    x = 57,107.43/361.76
  6. Step 6: Final answer
    x = 157.86

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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.