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Finding the Fourth Proportional to 192.94, 266.34 and 114.23

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Solution

The fourth proportional to 192.94, 266.34 and 114.23 is: 157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.94 : 266.34 = 114.23 : x
  2. Step 2: Convert to fraction form
    192.94/266.34 = 114.23/x
  3. Step 3: Cross multiply
    192.94x = 266.34 × 114.23
  4. Step 4: Simplify right side
    192.94x = 30,424.02
  5. Step 5: Solve for x
    x = 30,424.02/192.94
  6. Step 6: Final answer
    x = 157.69

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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.