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Finding the Fourth Proportional to 192.64, 265.86 and 137.32

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Solution

The fourth proportional to 192.64, 265.86 and 137.32 is: 189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.64 : 265.86 = 137.32 : x
  2. Step 2: Convert to fraction form
    192.64/265.86 = 137.32/x
  3. Step 3: Cross multiply
    192.64x = 265.86 × 137.32
  4. Step 4: Simplify right side
    192.64x = 36,507.90
  5. Step 5: Solve for x
    x = 36,507.90/192.64
  6. Step 6: Final answer
    x = 189.51

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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.