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Finding the Fourth Proportional to 246.23, 368.66 and 192.23

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Solution

The fourth proportional to 246.23, 368.66 and 192.23 is: 287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.23 : 368.66 = 192.23 : x
  2. Step 2: Convert to fraction form
    246.23/368.66 = 192.23/x
  3. Step 3: Cross multiply
    246.23x = 368.66 × 192.23
  4. Step 4: Simplify right side
    246.23x = 70,866.15
  5. Step 5: Solve for x
    x = 70,866.15/246.23
  6. Step 6: Final answer
    x = 287.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.