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Finding the Fourth Proportional to 279.52, 419.93 and 164.04

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Solution

The fourth proportional to 279.52, 419.93 and 164.04 is: 246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.52 : 419.93 = 164.04 : x
  2. Step 2: Convert to fraction form
    279.52/419.93 = 164.04/x
  3. Step 3: Cross multiply
    279.52x = 419.93 × 164.04
  4. Step 4: Simplify right side
    279.52x = 68,885.32
  5. Step 5: Solve for x
    x = 68,885.32/279.52
  6. Step 6: Final answer
    x = 246.44

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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.