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Finding the Fourth Proportional to 196.23, 293.66 and 138.32

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Solution

The fourth proportional to 196.23, 293.66 and 138.32 is: 207.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.23 : 293.66 = 138.32 : x
  2. Step 2: Convert to fraction form
    196.23/293.66 = 138.32/x
  3. Step 3: Cross multiply
    196.23x = 293.66 × 138.32
  4. Step 4: Simplify right side
    196.23x = 40,619.05
  5. Step 5: Solve for x
    x = 40,619.05/196.23
  6. Step 6: Final answer
    x = 207.00

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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.