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Finding the Fourth Proportional to 360.02, 540.64 and 198.02

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Solution

The fourth proportional to 360.02, 540.64 and 198.02 is: 297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.02 : 540.64 = 198.02 : x
  2. Step 2: Convert to fraction form
    360.02/540.64 = 198.02/x
  3. Step 3: Cross multiply
    360.02x = 540.64 × 198.02
  4. Step 4: Simplify right side
    360.02x = 107,057.53
  5. Step 5: Solve for x
    x = 107,057.53/360.02
  6. Step 6: Final answer
    x = 297.37

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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.