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Finding the Fourth Proportional to 193.41, 266.89 and 114.75

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Solution

The fourth proportional to 193.41, 266.89 and 114.75 is: 158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.41 : 266.89 = 114.75 : x
  2. Step 2: Convert to fraction form
    193.41/266.89 = 114.75/x
  3. Step 3: Cross multiply
    193.41x = 266.89 × 114.75
  4. Step 4: Simplify right side
    193.41x = 30,625.63
  5. Step 5: Solve for x
    x = 30,625.63/193.41
  6. Step 6: Final answer
    x = 158.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.