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Finding the Fourth Proportional to 236.85, 355.50 and 121.42

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Solution

The fourth proportional to 236.85, 355.50 and 121.42 is: 182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.85 : 355.50 = 121.42 : x
  2. Step 2: Convert to fraction form
    236.85/355.50 = 121.42/x
  3. Step 3: Cross multiply
    236.85x = 355.50 × 121.42
  4. Step 4: Simplify right side
    236.85x = 43,164.81
  5. Step 5: Solve for x
    x = 43,164.81/236.85
  6. Step 6: Final answer
    x = 182.25

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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.