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Finding the Fourth Proportional to 193.53, 267.07 and 114.84

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Solution

The fourth proportional to 193.53, 267.07 and 114.84 is: 158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.53 : 267.07 = 114.84 : x
  2. Step 2: Convert to fraction form
    193.53/267.07 = 114.84/x
  3. Step 3: Cross multiply
    193.53x = 267.07 × 114.84
  4. Step 4: Simplify right side
    193.53x = 30,669.74
  5. Step 5: Solve for x
    x = 30,669.74/193.53
  6. Step 6: Final answer
    x = 158.48

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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.