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Finding the Fourth Proportional to 194.49, 291.20 and 164.07

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Solution

The fourth proportional to 194.49, 291.20 and 164.07 is: 245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.49 : 291.20 = 164.07 : x
  2. Step 2: Convert to fraction form
    194.49/291.20 = 164.07/x
  3. Step 3: Cross multiply
    194.49x = 291.20 × 164.07
  4. Step 4: Simplify right side
    194.49x = 47,776.36
  5. Step 5: Solve for x
    x = 47,776.36/194.49
  6. Step 6: Final answer
    x = 245.65

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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.