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Finding the Fourth Proportional to 360.96, 540.72 and 198.48

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Solution

The fourth proportional to 360.96, 540.72 and 198.48 is: 297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.96 : 540.72 = 198.48 : x
  2. Step 2: Convert to fraction form
    360.96/540.72 = 198.48/x
  3. Step 3: Cross multiply
    360.96x = 540.72 × 198.48
  4. Step 4: Simplify right side
    360.96x = 107,322.11
  5. Step 5: Solve for x
    x = 107,322.11/360.96
  6. Step 6: Final answer
    x = 297.32

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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.