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Finding the Fourth Proportional to 414.50, 621.99 and 186.50

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Solution

The fourth proportional to 414.50, 621.99 and 186.50 is: 279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.50 : 621.99 = 186.50 : x
  2. Step 2: Convert to fraction form
    414.50/621.99 = 186.50/x
  3. Step 3: Cross multiply
    414.50x = 621.99 × 186.50
  4. Step 4: Simplify right side
    414.50x = 116,001.14
  5. Step 5: Solve for x
    x = 116,001.14/414.50
  6. Step 6: Final answer
    x = 279.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.