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Finding the Fourth Proportional to 279.92, 419.52 and 164.16

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Solution

The fourth proportional to 279.92, 419.52 and 164.16 is: 246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.92 : 419.52 = 164.16 : x
  2. Step 2: Convert to fraction form
    279.92/419.52 = 164.16/x
  3. Step 3: Cross multiply
    279.92x = 419.52 × 164.16
  4. Step 4: Simplify right side
    279.92x = 68,868.40
  5. Step 5: Solve for x
    x = 68,868.40/279.92
  6. Step 6: Final answer
    x = 246.03

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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.