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Finding the Fourth Proportional to 222.76, 307.38 and 164.68

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Solution

The fourth proportional to 222.76, 307.38 and 164.68 is: 227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.76 : 307.38 = 164.68 : x
  2. Step 2: Convert to fraction form
    222.76/307.38 = 164.68/x
  3. Step 3: Cross multiply
    222.76x = 307.38 × 164.68
  4. Step 4: Simplify right side
    222.76x = 50,619.34
  5. Step 5: Solve for x
    x = 50,619.34/222.76
  6. Step 6: Final answer
    x = 227.24

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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.