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Finding the Fourth Proportional to 192.25, 265.31 and 114.63

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Solution

The fourth proportional to 192.25, 265.31 and 114.63 is: 158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.25 : 265.31 = 114.63 : x
  2. Step 2: Convert to fraction form
    192.25/265.31 = 114.63/x
  3. Step 3: Cross multiply
    192.25x = 265.31 × 114.63
  4. Step 4: Simplify right side
    192.25x = 30,412.49
  5. Step 5: Solve for x
    x = 30,412.49/192.25
  6. Step 6: Final answer
    x = 158.19

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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.