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Finding the Fourth Proportional to 235.78, 353.60 and 164.09

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Solution

The fourth proportional to 235.78, 353.60 and 164.09 is: 246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.78 : 353.60 = 164.09 : x
  2. Step 2: Convert to fraction form
    235.78/353.60 = 164.09/x
  3. Step 3: Cross multiply
    235.78x = 353.60 × 164.09
  4. Step 4: Simplify right side
    235.78x = 58,021.40
  5. Step 5: Solve for x
    x = 58,021.40/235.78
  6. Step 6: Final answer
    x = 246.09

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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.