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Finding the Fourth Proportional to 264.26, 364.62 and 166.14

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Solution

The fourth proportional to 264.26, 364.62 and 166.14 is: 229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.26 : 364.62 = 166.14 : x
  2. Step 2: Convert to fraction form
    264.26/364.62 = 166.14/x
  3. Step 3: Cross multiply
    264.26x = 364.62 × 166.14
  4. Step 4: Simplify right side
    264.26x = 60,577.97
  5. Step 5: Solve for x
    x = 60,577.97/264.26
  6. Step 6: Final answer
    x = 229.24

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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.