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Finding the Fourth Proportional to 298.76, 412.14 and 180.65

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Solution

The fourth proportional to 298.76, 412.14 and 180.65 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.76 : 412.14 = 180.65 : x
  2. Step 2: Convert to fraction form
    298.76/412.14 = 180.65/x
  3. Step 3: Cross multiply
    298.76x = 412.14 × 180.65
  4. Step 4: Simplify right side
    298.76x = 74,453.20
  5. Step 5: Solve for x
    x = 74,453.20/298.76
  6. Step 6: Final answer
    x = 249.21

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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.