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Finding the Fourth Proportional to 164.47, 246.63 and 103.90

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Solution

The fourth proportional to 164.47, 246.63 and 103.90 is: 155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.47 : 246.63 = 103.90 : x
  2. Step 2: Convert to fraction form
    164.47/246.63 = 103.90/x
  3. Step 3: Cross multiply
    164.47x = 246.63 × 103.90
  4. Step 4: Simplify right side
    164.47x = 25,623.62
  5. Step 5: Solve for x
    x = 25,623.62/164.47
  6. Step 6: Final answer
    x = 155.80

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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.