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Finding the Fourth Proportional to 310.86, 466.26 and 164.56

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Solution

The fourth proportional to 310.86, 466.26 and 164.56 is: 246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.86 : 466.26 = 164.56 : x
  2. Step 2: Convert to fraction form
    310.86/466.26 = 164.56/x
  3. Step 3: Cross multiply
    310.86x = 466.26 × 164.56
  4. Step 4: Simplify right side
    310.86x = 76,726.58
  5. Step 5: Solve for x
    x = 76,726.58/310.86
  6. Step 6: Final answer
    x = 246.82

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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.