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Finding the Fourth Proportional to 236.35, 354.49 and 106.29

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Solution

The fourth proportional to 236.35, 354.49 and 106.29 is: 159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.35 : 354.49 = 106.29 : x
  2. Step 2: Convert to fraction form
    236.35/354.49 = 106.29/x
  3. Step 3: Cross multiply
    236.35x = 354.49 × 106.29
  4. Step 4: Simplify right side
    236.35x = 37,678.74
  5. Step 5: Solve for x
    x = 37,678.74/236.35
  6. Step 6: Final answer
    x = 159.42

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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.