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Finding the Fourth Proportional to 192.83, 265.83 and 174.47

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Solution

The fourth proportional to 192.83, 265.83 and 174.47 is: 240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.83 : 265.83 = 174.47 : x
  2. Step 2: Convert to fraction form
    192.83/265.83 = 174.47/x
  3. Step 3: Cross multiply
    192.83x = 265.83 × 174.47
  4. Step 4: Simplify right side
    192.83x = 46,379.36
  5. Step 5: Solve for x
    x = 46,379.36/192.83
  6. Step 6: Final answer
    x = 240.52

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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.