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Finding the Fourth Proportional to 193.03, 266.46 and 134.11

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Solution

The fourth proportional to 193.03, 266.46 and 134.11 is: 185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.03 : 266.46 = 134.11 : x
  2. Step 2: Convert to fraction form
    193.03/266.46 = 134.11/x
  3. Step 3: Cross multiply
    193.03x = 266.46 × 134.11
  4. Step 4: Simplify right side
    193.03x = 35,734.41
  5. Step 5: Solve for x
    x = 35,734.41/193.03
  6. Step 6: Final answer
    x = 185.12

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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.