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Finding the Fourth Proportional to 235.90, 354.12 and 164.08

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Solution

The fourth proportional to 235.90, 354.12 and 164.08 is: 246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.90 : 354.12 = 164.08 : x
  2. Step 2: Convert to fraction form
    235.90/354.12 = 164.08/x
  3. Step 3: Cross multiply
    235.90x = 354.12 × 164.08
  4. Step 4: Simplify right side
    235.90x = 58,104.01
  5. Step 5: Solve for x
    x = 58,104.01/235.90
  6. Step 6: Final answer
    x = 246.31

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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.