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Finding the Fourth Proportional to 196.66, 293.81 and 164.26

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Solution

The fourth proportional to 196.66, 293.81 and 164.26 is: 245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.66 : 293.81 = 164.26 : x
  2. Step 2: Convert to fraction form
    196.66/293.81 = 164.26/x
  3. Step 3: Cross multiply
    196.66x = 293.81 × 164.26
  4. Step 4: Simplify right side
    196.66x = 48,261.23
  5. Step 5: Solve for x
    x = 48,261.23/196.66
  6. Step 6: Final answer
    x = 245.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.