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Finding the Fourth Proportional to 236.40, 354.20 and 200.36

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Solution

The fourth proportional to 236.40, 354.20 and 200.36 is: 300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.40 : 354.20 = 200.36 : x
  2. Step 2: Convert to fraction form
    236.40/354.20 = 200.36/x
  3. Step 3: Cross multiply
    236.40x = 354.20 × 200.36
  4. Step 4: Simplify right side
    236.40x = 70,964.74
  5. Step 5: Solve for x
    x = 70,964.74/236.40
  6. Step 6: Final answer
    x = 300.19

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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.