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Finding the Fourth Proportional to 192.94, 266.39 and 156.26

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Solution

The fourth proportional to 192.94, 266.39 and 156.26 is: 215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.94 : 266.39 = 156.26 : x
  2. Step 2: Convert to fraction form
    192.94/266.39 = 156.26/x
  3. Step 3: Cross multiply
    192.94x = 266.39 × 156.26
  4. Step 4: Simplify right side
    192.94x = 41,626.10
  5. Step 5: Solve for x
    x = 41,626.10/192.94
  6. Step 6: Final answer
    x = 215.75

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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.