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Finding the Fourth Proportional to 298.61, 412.07 and 180.68

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Solution

The fourth proportional to 298.61, 412.07 and 180.68 is: 249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.61 : 412.07 = 180.68 : x
  2. Step 2: Convert to fraction form
    298.61/412.07 = 180.68/x
  3. Step 3: Cross multiply
    298.61x = 412.07 × 180.68
  4. Step 4: Simplify right side
    298.61x = 74,452.93
  5. Step 5: Solve for x
    x = 74,452.93/298.61
  6. Step 6: Final answer
    x = 249.34

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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.