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Finding the Fourth Proportional to 236.83, 353.34 and 210.84

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Solution

The fourth proportional to 236.83, 353.34 and 210.84 is: 314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.83 : 353.34 = 210.84 : x
  2. Step 2: Convert to fraction form
    236.83/353.34 = 210.84/x
  3. Step 3: Cross multiply
    236.83x = 353.34 × 210.84
  4. Step 4: Simplify right side
    236.83x = 74,496.27
  5. Step 5: Solve for x
    x = 74,496.27/236.83
  6. Step 6: Final answer
    x = 314.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.