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Finding the Fourth Proportional to 144.51, 199.29 and 127.94

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Solution

The fourth proportional to 144.51, 199.29 and 127.94 is: 176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.51 : 199.29 = 127.94 : x
  2. Step 2: Convert to fraction form
    144.51/199.29 = 127.94/x
  3. Step 3: Cross multiply
    144.51x = 199.29 × 127.94
  4. Step 4: Simplify right side
    144.51x = 25,496.17
  5. Step 5: Solve for x
    x = 25,496.17/144.51
  6. Step 6: Final answer
    x = 176.43

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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.