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Finding the Fourth Proportional to 193.16, 266.46 and 127.55

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Solution

The fourth proportional to 193.16, 266.46 and 127.55 is: 175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.16 : 266.46 = 127.55 : x
  2. Step 2: Convert to fraction form
    193.16/266.46 = 127.55/x
  3. Step 3: Cross multiply
    193.16x = 266.46 × 127.55
  4. Step 4: Simplify right side
    193.16x = 33,986.97
  5. Step 5: Solve for x
    x = 33,986.97/193.16
  6. Step 6: Final answer
    x = 175.95

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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.