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Finding the Fourth Proportional to 310.27, 465.59 and 164.12

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Solution

The fourth proportional to 310.27, 465.59 and 164.12 is: 246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.27 : 465.59 = 164.12 : x
  2. Step 2: Convert to fraction form
    310.27/465.59 = 164.12/x
  3. Step 3: Cross multiply
    310.27x = 465.59 × 164.12
  4. Step 4: Simplify right side
    310.27x = 76,412.63
  5. Step 5: Solve for x
    x = 76,412.63/310.27
  6. Step 6: Final answer
    x = 246.28

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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.