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Finding the Fourth Proportional to 192.51, 290.32 and 189.81

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Solution

The fourth proportional to 192.51, 290.32 and 189.81 is: 286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.51 : 290.32 = 189.81 : x
  2. Step 2: Convert to fraction form
    192.51/290.32 = 189.81/x
  3. Step 3: Cross multiply
    192.51x = 290.32 × 189.81
  4. Step 4: Simplify right side
    192.51x = 55,105.16
  5. Step 5: Solve for x
    x = 55,105.16/192.51
  6. Step 6: Final answer
    x = 286.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.