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Finding the Fourth Proportional to 360.24, 540.26 and 100.18

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Solution

The fourth proportional to 360.24, 540.26 and 100.18 is: 150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.24 : 540.26 = 100.18 : x
  2. Step 2: Convert to fraction form
    360.24/540.26 = 100.18/x
  3. Step 3: Cross multiply
    360.24x = 540.26 × 100.18
  4. Step 4: Simplify right side
    360.24x = 54,120.04
  5. Step 5: Solve for x
    x = 54,120.04/360.24
  6. Step 6: Final answer
    x = 150.23

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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.