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Finding the Fourth Proportional to 193.74, 267.15 and 131.58

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Solution

The fourth proportional to 193.74, 267.15 and 131.58 is: 181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.74 : 267.15 = 131.58 : x
  2. Step 2: Convert to fraction form
    193.74/267.15 = 131.58/x
  3. Step 3: Cross multiply
    193.74x = 267.15 × 131.58
  4. Step 4: Simplify right side
    193.74x = 35,151.60
  5. Step 5: Solve for x
    x = 35,151.60/193.74
  6. Step 6: Final answer
    x = 181.44

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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.