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Finding the Fourth Proportional to 195.14, 292.41 and 114.08

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Solution

The fourth proportional to 195.14, 292.41 and 114.08 is: 170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.14 : 292.41 = 114.08 : x
  2. Step 2: Convert to fraction form
    195.14/292.41 = 114.08/x
  3. Step 3: Cross multiply
    195.14x = 292.41 × 114.08
  4. Step 4: Simplify right side
    195.14x = 33,356.67
  5. Step 5: Solve for x
    x = 33,356.67/195.14
  6. Step 6: Final answer
    x = 170.93

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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.