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Finding the Fourth Proportional to 309.31, 426.81 and 216.16

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Solution

The fourth proportional to 309.31, 426.81 and 216.16 is: 298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.31 : 426.81 = 216.16 : x
  2. Step 2: Convert to fraction form
    309.31/426.81 = 216.16/x
  3. Step 3: Cross multiply
    309.31x = 426.81 × 216.16
  4. Step 4: Simplify right side
    309.31x = 92,259.25
  5. Step 5: Solve for x
    x = 92,259.25/309.31
  6. Step 6: Final answer
    x = 298.27

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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.