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Finding the Fourth Proportional to 360.70, 540.66 and 198.16

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Solution

The fourth proportional to 360.70, 540.66 and 198.16 is: 297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.70 : 540.66 = 198.16 : x
  2. Step 2: Convert to fraction form
    360.70/540.66 = 198.16/x
  3. Step 3: Cross multiply
    360.70x = 540.66 × 198.16
  4. Step 4: Simplify right side
    360.70x = 107,137.19
  5. Step 5: Solve for x
    x = 107,137.19/360.70
  6. Step 6: Final answer
    x = 297.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.