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Finding the Fourth Proportional to 195.21, 291.20 and 186.30

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Solution

The fourth proportional to 195.21, 291.20 and 186.30 is: 277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.21 : 291.20 = 186.30 : x
  2. Step 2: Convert to fraction form
    195.21/291.20 = 186.30/x
  3. Step 3: Cross multiply
    195.21x = 291.20 × 186.30
  4. Step 4: Simplify right side
    195.21x = 54,249.63
  5. Step 5: Solve for x
    x = 54,249.63/195.21
  6. Step 6: Final answer
    x = 277.90

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