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Finding the Fourth Proportional to 195.54, 293.34 and 114.24

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Solution

The fourth proportional to 195.54, 293.34 and 114.24 is: 171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.54 : 293.34 = 114.24 : x
  2. Step 2: Convert to fraction form
    195.54/293.34 = 114.24/x
  3. Step 3: Cross multiply
    195.54x = 293.34 × 114.24
  4. Step 4: Simplify right side
    195.54x = 33,511.16
  5. Step 5: Solve for x
    x = 33,511.16/195.54
  6. Step 6: Final answer
    x = 171.38

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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.