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Finding the Fourth Proportional to 190.25, 283.66 and 187.36

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Solution

The fourth proportional to 190.25, 283.66 and 187.36 is: 279.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.25 : 283.66 = 187.36 : x
  2. Step 2: Convert to fraction form
    190.25/283.66 = 187.36/x
  3. Step 3: Cross multiply
    190.25x = 283.66 × 187.36
  4. Step 4: Simplify right side
    190.25x = 53,146.54
  5. Step 5: Solve for x
    x = 53,146.54/190.25
  6. Step 6: Final answer
    x = 279.36

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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.