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Finding the Fourth Proportional to 304.62, 420.23 and 186.50

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Solution

The fourth proportional to 304.62, 420.23 and 186.50 is: 257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.62 : 420.23 = 186.50 : x
  2. Step 2: Convert to fraction form
    304.62/420.23 = 186.50/x
  3. Step 3: Cross multiply
    304.62x = 420.23 × 186.50
  4. Step 4: Simplify right side
    304.62x = 78,369.86
  5. Step 5: Solve for x
    x = 78,369.86/304.62
  6. Step 6: Final answer
    x = 257.27

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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.