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Finding the Fourth Proportional to 264.92, 367.24 and 254.66

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Solution

The fourth proportional to 264.92, 367.24 and 254.66 is: 353.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.92 : 367.24 = 254.66 : x
  2. Step 2: Convert to fraction form
    264.92/367.24 = 254.66/x
  3. Step 3: Cross multiply
    264.92x = 367.24 × 254.66
  4. Step 4: Simplify right side
    264.92x = 93,521.34
  5. Step 5: Solve for x
    x = 93,521.34/264.92
  6. Step 6: Final answer
    x = 353.02

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.