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Finding the Fourth Proportional to 192.45, 265.30 and 137.16

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Solution

The fourth proportional to 192.45, 265.30 and 137.16 is: 189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.45 : 265.30 = 137.16 : x
  2. Step 2: Convert to fraction form
    192.45/265.30 = 137.16/x
  3. Step 3: Cross multiply
    192.45x = 265.30 × 137.16
  4. Step 4: Simplify right side
    192.45x = 36,388.55
  5. Step 5: Solve for x
    x = 36,388.55/192.45
  6. Step 6: Final answer
    x = 189.08

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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.