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Finding the Fourth Proportional to 346.73, 519.78 and 164.30

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Solution

The fourth proportional to 346.73, 519.78 and 164.30 is: 246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.73 : 519.78 = 164.30 : x
  2. Step 2: Convert to fraction form
    346.73/519.78 = 164.30/x
  3. Step 3: Cross multiply
    346.73x = 519.78 × 164.30
  4. Step 4: Simplify right side
    346.73x = 85,399.85
  5. Step 5: Solve for x
    x = 85,399.85/346.73
  6. Step 6: Final answer
    x = 246.30

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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.