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Finding the Fourth Proportional to 193.35, 266.78 and 114.64

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Solution

The fourth proportional to 193.35, 266.78 and 114.64 is: 158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.35 : 266.78 = 114.64 : x
  2. Step 2: Convert to fraction form
    193.35/266.78 = 114.64/x
  3. Step 3: Cross multiply
    193.35x = 266.78 × 114.64
  4. Step 4: Simplify right side
    193.35x = 30,583.66
  5. Step 5: Solve for x
    x = 30,583.66/193.35
  6. Step 6: Final answer
    x = 158.18

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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.