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Finding the Fourth Proportional to 144.46, 199.56 and 127.99

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Solution

The fourth proportional to 144.46, 199.56 and 127.99 is: 176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.46 : 199.56 = 127.99 : x
  2. Step 2: Convert to fraction form
    144.46/199.56 = 127.99/x
  3. Step 3: Cross multiply
    144.46x = 199.56 × 127.99
  4. Step 4: Simplify right side
    144.46x = 25,541.68
  5. Step 5: Solve for x
    x = 25,541.68/144.46
  6. Step 6: Final answer
    x = 176.81

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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.