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Finding the Fourth Proportional to 195.21, 292.14 and 114.21

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Solution

The fourth proportional to 195.21, 292.14 and 114.21 is: 170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.21 : 292.14 = 114.21 : x
  2. Step 2: Convert to fraction form
    195.21/292.14 = 114.21/x
  3. Step 3: Cross multiply
    195.21x = 292.14 × 114.21
  4. Step 4: Simplify right side
    195.21x = 33,365.31
  5. Step 5: Solve for x
    x = 33,365.31/195.21
  6. Step 6: Final answer
    x = 170.92

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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.