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Finding the Fourth Proportional to 264.90, 365.04 and 194.82

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Solution

The fourth proportional to 264.90, 365.04 and 194.82 is: 268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.90 : 365.04 = 194.82 : x
  2. Step 2: Convert to fraction form
    264.90/365.04 = 194.82/x
  3. Step 3: Cross multiply
    264.90x = 365.04 × 194.82
  4. Step 4: Simplify right side
    264.90x = 71,117.09
  5. Step 5: Solve for x
    x = 71,117.09/264.90
  6. Step 6: Final answer
    x = 268.47

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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.