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Finding the Fourth Proportional to 192.84, 265.86 and 149.32

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Solution

The fourth proportional to 192.84, 265.86 and 149.32 is: 205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.84 : 265.86 = 149.32 : x
  2. Step 2: Convert to fraction form
    192.84/265.86 = 149.32/x
  3. Step 3: Cross multiply
    192.84x = 265.86 × 149.32
  4. Step 4: Simplify right side
    192.84x = 39,698.22
  5. Step 5: Solve for x
    x = 39,698.22/192.84
  6. Step 6: Final answer
    x = 205.86

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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.