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Finding the Fourth Proportional to 304.27, 419.87 and 186.19

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Solution

The fourth proportional to 304.27, 419.87 and 186.19 is: 256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.27 : 419.87 = 186.19 : x
  2. Step 2: Convert to fraction form
    304.27/419.87 = 186.19/x
  3. Step 3: Cross multiply
    304.27x = 419.87 × 186.19
  4. Step 4: Simplify right side
    304.27x = 78,175.77
  5. Step 5: Solve for x
    x = 78,175.77/304.27
  6. Step 6: Final answer
    x = 256.93

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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.