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Finding the Fourth Proportional to 194.70, 291.71 and 165.54

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Solution

The fourth proportional to 194.70, 291.71 and 165.54 is: 248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.70 : 291.71 = 165.54 : x
  2. Step 2: Convert to fraction form
    194.70/291.71 = 165.54/x
  3. Step 3: Cross multiply
    194.70x = 291.71 × 165.54
  4. Step 4: Simplify right side
    194.70x = 48,288.85
  5. Step 5: Solve for x
    x = 48,288.85/194.70
  6. Step 6: Final answer
    x = 248.02

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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.