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Finding the Fourth Proportional to 192.35, 265.55 and 137.07

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Solution

The fourth proportional to 192.35, 265.55 and 137.07 is: 189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.35 : 265.55 = 137.07 : x
  2. Step 2: Convert to fraction form
    192.35/265.55 = 137.07/x
  3. Step 3: Cross multiply
    192.35x = 265.55 × 137.07
  4. Step 4: Simplify right side
    192.35x = 36,398.66
  5. Step 5: Solve for x
    x = 36,398.66/192.35
  6. Step 6: Final answer
    x = 189.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.