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Finding the Fourth Proportional to 193.64, 266.42 and 177.44

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Solution

The fourth proportional to 193.64, 266.42 and 177.44 is: 244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.64 : 266.42 = 177.44 : x
  2. Step 2: Convert to fraction form
    193.64/266.42 = 177.44/x
  3. Step 3: Cross multiply
    193.64x = 266.42 × 177.44
  4. Step 4: Simplify right side
    193.64x = 47,272.68
  5. Step 5: Solve for x
    x = 47,272.68/193.64
  6. Step 6: Final answer
    x = 244.13

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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.