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Finding the Fourth Proportional to 164.52, 246.86 and 82.34

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Solution

The fourth proportional to 164.52, 246.86 and 82.34 is: 123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.52 : 246.86 = 82.34 : x
  2. Step 2: Convert to fraction form
    164.52/246.86 = 82.34/x
  3. Step 3: Cross multiply
    164.52x = 246.86 × 82.34
  4. Step 4: Simplify right side
    164.52x = 20,326.04
  5. Step 5: Solve for x
    x = 20,326.04/164.52
  6. Step 6: Final answer
    x = 123.55

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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.