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Finding the Fourth Proportional to 310.63, 466.06 and 164.39

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Solution

The fourth proportional to 310.63, 466.06 and 164.39 is: 246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.63 : 466.06 = 164.39 : x
  2. Step 2: Convert to fraction form
    310.63/466.06 = 164.39/x
  3. Step 3: Cross multiply
    310.63x = 466.06 × 164.39
  4. Step 4: Simplify right side
    310.63x = 76,614.03
  5. Step 5: Solve for x
    x = 76,614.03/310.63
  6. Step 6: Final answer
    x = 246.64

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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.