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Finding the Fourth Proportional to 304.25, 419.87 and 187.82

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Solution

The fourth proportional to 304.25, 419.87 and 187.82 is: 259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.25 : 419.87 = 187.82 : x
  2. Step 2: Convert to fraction form
    304.25/419.87 = 187.82/x
  3. Step 3: Cross multiply
    304.25x = 419.87 × 187.82
  4. Step 4: Simplify right side
    304.25x = 78,856.94
  5. Step 5: Solve for x
    x = 78,856.94/304.25
  6. Step 6: Final answer
    x = 259.18

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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.