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Finding the Fourth Proportional to 164.46, 246.78 and 73.20

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Solution

The fourth proportional to 164.46, 246.78 and 73.20 is: 109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.46 : 246.78 = 73.20 : x
  2. Step 2: Convert to fraction form
    164.46/246.78 = 73.20/x
  3. Step 3: Cross multiply
    164.46x = 246.78 × 73.20
  4. Step 4: Simplify right side
    164.46x = 18,065.22
  5. Step 5: Solve for x
    x = 18,065.22/164.46
  6. Step 6: Final answer
    x = 109.84

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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.