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Finding the Fourth Proportional to 194.82, 291.96 and 178.08

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Solution

The fourth proportional to 194.82, 291.96 and 178.08 is: 266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.82 : 291.96 = 178.08 : x
  2. Step 2: Convert to fraction form
    194.82/291.96 = 178.08/x
  3. Step 3: Cross multiply
    194.82x = 291.96 × 178.08
  4. Step 4: Simplify right side
    194.82x = 51,992.24
  5. Step 5: Solve for x
    x = 51,992.24/194.82
  6. Step 6: Final answer
    x = 266.87

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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.