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Finding the Fourth Proportional to 193.11, 266.60 and 114.45

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Solution

The fourth proportional to 193.11, 266.60 and 114.45 is: 158.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.11 : 266.60 = 114.45 : x
  2. Step 2: Convert to fraction form
    193.11/266.60 = 114.45/x
  3. Step 3: Cross multiply
    193.11x = 266.60 × 114.45
  4. Step 4: Simplify right side
    193.11x = 30,512.37
  5. Step 5: Solve for x
    x = 30,512.37/193.11
  6. Step 6: Final answer
    x = 158.01

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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.