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Finding the Fourth Proportional to 264.00, 395.99 and 119.55

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Solution

The fourth proportional to 264.00, 395.99 and 119.55 is: 179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.00 : 395.99 = 119.55 : x
  2. Step 2: Convert to fraction form
    264.00/395.99 = 119.55/x
  3. Step 3: Cross multiply
    264.00x = 395.99 × 119.55
  4. Step 4: Simplify right side
    264.00x = 47,338.62
  5. Step 5: Solve for x
    x = 47,338.62/264.00
  6. Step 6: Final answer
    x = 179.32

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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.