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Finding the Fourth Proportional to 365.94, 548.39 and 192.26

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Solution

The fourth proportional to 365.94, 548.39 and 192.26 is: 288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.94 : 548.39 = 192.26 : x
  2. Step 2: Convert to fraction form
    365.94/548.39 = 192.26/x
  3. Step 3: Cross multiply
    365.94x = 548.39 × 192.26
  4. Step 4: Simplify right side
    365.94x = 105,429.76
  5. Step 5: Solve for x
    x = 105,429.76/365.94
  6. Step 6: Final answer
    x = 288.11

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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.