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Finding the Fourth Proportional to 304.38, 419.89 and 186.31

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Solution

The fourth proportional to 304.38, 419.89 and 186.31 is: 257.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.38 : 419.89 = 186.31 : x
  2. Step 2: Convert to fraction form
    304.38/419.89 = 186.31/x
  3. Step 3: Cross multiply
    304.38x = 419.89 × 186.31
  4. Step 4: Simplify right side
    304.38x = 78,229.71
  5. Step 5: Solve for x
    x = 78,229.71/304.38
  6. Step 6: Final answer
    x = 257.01

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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.