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Finding the Fourth Proportional to 264.22, 364.57 and 164.68

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Solution

The fourth proportional to 264.22, 364.57 and 164.68 is: 227.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.22 : 364.57 = 164.68 : x
  2. Step 2: Convert to fraction form
    264.22/364.57 = 164.68/x
  3. Step 3: Cross multiply
    264.22x = 364.57 × 164.68
  4. Step 4: Simplify right side
    264.22x = 60,037.39
  5. Step 5: Solve for x
    x = 60,037.39/264.22
  6. Step 6: Final answer
    x = 227.22

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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.