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Finding the Fourth Proportional to 192.20, 265.21 and 137.05

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Solution

The fourth proportional to 192.20, 265.21 and 137.05 is: 189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.20 : 265.21 = 137.05 : x
  2. Step 2: Convert to fraction form
    192.20/265.21 = 137.05/x
  3. Step 3: Cross multiply
    192.20x = 265.21 × 137.05
  4. Step 4: Simplify right side
    192.20x = 36,346.02
  5. Step 5: Solve for x
    x = 36,346.02/192.20
  6. Step 6: Final answer
    x = 189.11

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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.