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Finding the Fourth Proportional to 264.34, 364.57 and 198.11

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Solution

The fourth proportional to 264.34, 364.57 and 198.11 is: 273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.34 : 364.57 = 198.11 : x
  2. Step 2: Convert to fraction form
    264.34/364.57 = 198.11/x
  3. Step 3: Cross multiply
    264.34x = 364.57 × 198.11
  4. Step 4: Simplify right side
    264.34x = 72,223.70
  5. Step 5: Solve for x
    x = 72,223.70/264.34
  6. Step 6: Final answer
    x = 273.22

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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.