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Finding the Fourth Proportional to 360.72, 541 and 168.24

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Solution

The fourth proportional to 360.72, 541 and 168.24 is: 252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.72 : 541 = 168.24 : x
  2. Step 2: Convert to fraction form
    360.72/541 = 168.24/x
  3. Step 3: Cross multiply
    360.72x = 541 × 168.24
  4. Step 4: Simplify right side
    360.72x = 91,017.84
  5. Step 5: Solve for x
    x = 91,017.84/360.72
  6. Step 6: Final answer
    x = 252.32

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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.