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Finding the Fourth Proportional to 164.31, 246.40 and 77.63

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Solution

The fourth proportional to 164.31, 246.40 and 77.63 is: 116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.31 : 246.40 = 77.63 : x
  2. Step 2: Convert to fraction form
    164.31/246.40 = 77.63/x
  3. Step 3: Cross multiply
    164.31x = 246.40 × 77.63
  4. Step 4: Simplify right side
    164.31x = 19,128.03
  5. Step 5: Solve for x
    x = 19,128.03/164.31
  6. Step 6: Final answer
    x = 116.41

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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.