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Finding the Fourth Proportional to 304.25, 419.91 and 179.87

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Solution

The fourth proportional to 304.25, 419.91 and 179.87 is: 248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.25 : 419.91 = 179.87 : x
  2. Step 2: Convert to fraction form
    304.25/419.91 = 179.87/x
  3. Step 3: Cross multiply
    304.25x = 419.91 × 179.87
  4. Step 4: Simplify right side
    304.25x = 75,529.21
  5. Step 5: Solve for x
    x = 75,529.21/304.25
  6. Step 6: Final answer
    x = 248.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.