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Finding the Fourth Proportional to 264.06, 395.01 and 199.26

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Solution

The fourth proportional to 264.06, 395.01 and 199.26 is: 298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.06 : 395.01 = 199.26 : x
  2. Step 2: Convert to fraction form
    264.06/395.01 = 199.26/x
  3. Step 3: Cross multiply
    264.06x = 395.01 × 199.26
  4. Step 4: Simplify right side
    264.06x = 78,709.69
  5. Step 5: Solve for x
    x = 78,709.69/264.06
  6. Step 6: Final answer
    x = 298.08

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Why These Related Problems?

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