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Finding the Fourth Proportional to 194.74, 290.37 and 186.28

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Solution

The fourth proportional to 194.74, 290.37 and 186.28 is: 277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.74 : 290.37 = 186.28 : x
  2. Step 2: Convert to fraction form
    194.74/290.37 = 186.28/x
  3. Step 3: Cross multiply
    194.74x = 290.37 × 186.28
  4. Step 4: Simplify right side
    194.74x = 54,090.10
  5. Step 5: Solve for x
    x = 54,090.10/194.74
  6. Step 6: Final answer
    x = 277.76

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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.