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Finding the Fourth Proportional to 362.77, 544.24 and 106.27

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Solution

The fourth proportional to 362.77, 544.24 and 106.27 is: 159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.77 : 544.24 = 106.27 : x
  2. Step 2: Convert to fraction form
    362.77/544.24 = 106.27/x
  3. Step 3: Cross multiply
    362.77x = 544.24 × 106.27
  4. Step 4: Simplify right side
    362.77x = 57,833.40
  5. Step 5: Solve for x
    x = 57,833.40/362.77
  6. Step 6: Final answer
    x = 159.42

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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.