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Finding the Fourth Proportional to 219.25, 301.60 and 210.37

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Solution

The fourth proportional to 219.25, 301.60 and 210.37 is: 289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.25 : 301.60 = 210.37 : x
  2. Step 2: Convert to fraction form
    219.25/301.60 = 210.37/x
  3. Step 3: Cross multiply
    219.25x = 301.60 × 210.37
  4. Step 4: Simplify right side
    219.25x = 63,447.59
  5. Step 5: Solve for x
    x = 63,447.59/219.25
  6. Step 6: Final answer
    x = 289.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.