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Finding the Fourth Proportional to 264.48, 364.94 and 166.26

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Solution

The fourth proportional to 264.48, 364.94 and 166.26 is: 229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.48 : 364.94 = 166.26 : x
  2. Step 2: Convert to fraction form
    264.48/364.94 = 166.26/x
  3. Step 3: Cross multiply
    264.48x = 364.94 × 166.26
  4. Step 4: Simplify right side
    264.48x = 60,676.09
  5. Step 5: Solve for x
    x = 60,676.09/264.48
  6. Step 6: Final answer
    x = 229.42

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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.