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Finding the Fourth Proportional to 264.24, 364.86 and 166.16

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Solution

The fourth proportional to 264.24, 364.86 and 166.16 is: 229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.24 : 364.86 = 166.16 : x
  2. Step 2: Convert to fraction form
    264.24/364.86 = 166.16/x
  3. Step 3: Cross multiply
    264.24x = 364.86 × 166.16
  4. Step 4: Simplify right side
    264.24x = 60,625.14
  5. Step 5: Solve for x
    x = 60,625.14/264.24
  6. Step 6: Final answer
    x = 229.43

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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.