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Finding the Fourth Proportional to 309.75, 427.61 and 210.23

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Solution

The fourth proportional to 309.75, 427.61 and 210.23 is: 290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.75 : 427.61 = 210.23 : x
  2. Step 2: Convert to fraction form
    309.75/427.61 = 210.23/x
  3. Step 3: Cross multiply
    309.75x = 427.61 × 210.23
  4. Step 4: Simplify right side
    309.75x = 89,896.45
  5. Step 5: Solve for x
    x = 89,896.45/309.75
  6. Step 6: Final answer
    x = 290.22

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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.