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Finding the Fourth Proportional to 264.20, 364.89 and 198.98

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Solution

The fourth proportional to 264.20, 364.89 and 198.98 is: 274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.20 : 364.89 = 198.98 : x
  2. Step 2: Convert to fraction form
    264.20/364.89 = 198.98/x
  3. Step 3: Cross multiply
    264.20x = 364.89 × 198.98
  4. Step 4: Simplify right side
    264.20x = 72,605.81
  5. Step 5: Solve for x
    x = 72,605.81/264.20
  6. Step 6: Final answer
    x = 274.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.