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Finding the Fourth Proportional to 264.44, 364.94 and 166.20

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Solution

The fourth proportional to 264.44, 364.94 and 166.20 is: 229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.44 : 364.94 = 166.20 : x
  2. Step 2: Convert to fraction form
    264.44/364.94 = 166.20/x
  3. Step 3: Cross multiply
    264.44x = 364.94 × 166.20
  4. Step 4: Simplify right side
    264.44x = 60,653.03
  5. Step 5: Solve for x
    x = 60,653.03/264.44
  6. Step 6: Final answer
    x = 229.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.