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Finding the Fourth Proportional to 195.66, 293.06 and 138.14

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Solution

The fourth proportional to 195.66, 293.06 and 138.14 is: 206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.66 : 293.06 = 138.14 : x
  2. Step 2: Convert to fraction form
    195.66/293.06 = 138.14/x
  3. Step 3: Cross multiply
    195.66x = 293.06 × 138.14
  4. Step 4: Simplify right side
    195.66x = 40,483.31
  5. Step 5: Solve for x
    x = 40,483.31/195.66
  6. Step 6: Final answer
    x = 206.91

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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.