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Finding the Fourth Proportional to 194.06, 290.64 and 171.59

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Solution

The fourth proportional to 194.06, 290.64 and 171.59 is: 256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.06 : 290.64 = 171.59 : x
  2. Step 2: Convert to fraction form
    194.06/290.64 = 171.59/x
  3. Step 3: Cross multiply
    194.06x = 290.64 × 171.59
  4. Step 4: Simplify right side
    194.06x = 49,869.14
  5. Step 5: Solve for x
    x = 49,869.14/194.06
  6. Step 6: Final answer
    x = 256.97

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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.