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Finding the Fourth Proportional to 310.72, 465.84 and 164.28

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Solution

The fourth proportional to 310.72, 465.84 and 164.28 is: 246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.72 : 465.84 = 164.28 : x
  2. Step 2: Convert to fraction form
    310.72/465.84 = 164.28/x
  3. Step 3: Cross multiply
    310.72x = 465.84 × 164.28
  4. Step 4: Simplify right side
    310.72x = 76,527.37
  5. Step 5: Solve for x
    x = 76,527.37/310.72
  6. Step 6: Final answer
    x = 246.29

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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.