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Finding the Fourth Proportional to 193.40, 266.64 and 164.24

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Solution

The fourth proportional to 193.40, 266.64 and 164.24 is: 226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.40 : 266.64 = 164.24 : x
  2. Step 2: Convert to fraction form
    193.40/266.64 = 164.24/x
  3. Step 3: Cross multiply
    193.40x = 266.64 × 164.24
  4. Step 4: Simplify right side
    193.40x = 43,792.95
  5. Step 5: Solve for x
    x = 43,792.95/193.40
  6. Step 6: Final answer
    x = 226.44

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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.