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Finding the Fourth Proportional to 236.25, 354.24 and 209.25

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Solution

The fourth proportional to 236.25, 354.24 and 209.25 is: 313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.25 : 354.24 = 209.25 : x
  2. Step 2: Convert to fraction form
    236.25/354.24 = 209.25/x
  3. Step 3: Cross multiply
    236.25x = 354.24 × 209.25
  4. Step 4: Simplify right side
    236.25x = 74,124.72
  5. Step 5: Solve for x
    x = 74,124.72/236.25
  6. Step 6: Final answer
    x = 313.76

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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.