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Finding the Fourth Proportional to 193.06, 266.13 and 127.45

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Solution

The fourth proportional to 193.06, 266.13 and 127.45 is: 175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.06 : 266.13 = 127.45 : x
  2. Step 2: Convert to fraction form
    193.06/266.13 = 127.45/x
  3. Step 3: Cross multiply
    193.06x = 266.13 × 127.45
  4. Step 4: Simplify right side
    193.06x = 33,917.26
  5. Step 5: Solve for x
    x = 33,917.26/193.06
  6. Step 6: Final answer
    x = 175.69

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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.