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Finding the Fourth Proportional to 280.06, 419.83 and 164.34

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Solution

The fourth proportional to 280.06, 419.83 and 164.34 is: 246.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.06 : 419.83 = 164.34 : x
  2. Step 2: Convert to fraction form
    280.06/419.83 = 164.34/x
  3. Step 3: Cross multiply
    280.06x = 419.83 × 164.34
  4. Step 4: Simplify right side
    280.06x = 68,994.04
  5. Step 5: Solve for x
    x = 68,994.04/280.06
  6. Step 6: Final answer
    x = 246.36

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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.