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Finding the Fourth Proportional to 264.64, 365.12 and 166.40

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Solution

The fourth proportional to 264.64, 365.12 and 166.40 is: 229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.64 : 365.12 = 166.40 : x
  2. Step 2: Convert to fraction form
    264.64/365.12 = 166.40/x
  3. Step 3: Cross multiply
    264.64x = 365.12 × 166.40
  4. Step 4: Simplify right side
    264.64x = 60,755.97
  5. Step 5: Solve for x
    x = 60,755.97/264.64
  6. Step 6: Final answer
    x = 229.58

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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.