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Finding the Fourth Proportional to 193.63, 266.41 and 167.31

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Solution

The fourth proportional to 193.63, 266.41 and 167.31 is: 230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.63 : 266.41 = 167.31 : x
  2. Step 2: Convert to fraction form
    193.63/266.41 = 167.31/x
  3. Step 3: Cross multiply
    193.63x = 266.41 × 167.31
  4. Step 4: Simplify right side
    193.63x = 44,574.55
  5. Step 5: Solve for x
    x = 44,574.55/193.63
  6. Step 6: Final answer
    x = 230.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.