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Finding the Fourth Proportional to 193.54, 287.70 and 192.46

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Solution

The fourth proportional to 193.54, 287.70 and 192.46 is: 286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.54 : 287.70 = 192.46 : x
  2. Step 2: Convert to fraction form
    193.54/287.70 = 192.46/x
  3. Step 3: Cross multiply
    193.54x = 287.70 × 192.46
  4. Step 4: Simplify right side
    193.54x = 55,370.74
  5. Step 5: Solve for x
    x = 55,370.74/193.54
  6. Step 6: Final answer
    x = 286.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.