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Finding the Fourth Proportional to 192.60, 265.62 and 137.37

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Solution

The fourth proportional to 192.60, 265.62 and 137.37 is: 189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.60 : 265.62 = 137.37 : x
  2. Step 2: Convert to fraction form
    192.60/265.62 = 137.37/x
  3. Step 3: Cross multiply
    192.60x = 265.62 × 137.37
  4. Step 4: Simplify right side
    192.60x = 36,488.22
  5. Step 5: Solve for x
    x = 36,488.22/192.60
  6. Step 6: Final answer
    x = 189.45

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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.