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Finding the Fourth Proportional to 264.44, 396.59 and 118.22

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Solution

The fourth proportional to 264.44, 396.59 and 118.22 is: 177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.44 : 396.59 = 118.22 : x
  2. Step 2: Convert to fraction form
    264.44/396.59 = 118.22/x
  3. Step 3: Cross multiply
    264.44x = 396.59 × 118.22
  4. Step 4: Simplify right side
    264.44x = 46,882.30
  5. Step 5: Solve for x
    x = 46,882.30/264.44
  6. Step 6: Final answer
    x = 177.29

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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.