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Finding the Fourth Proportional to 298.85, 412.25 and 180.77

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Solution

The fourth proportional to 298.85, 412.25 and 180.77 is: 249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.85 : 412.25 = 180.77 : x
  2. Step 2: Convert to fraction form
    298.85/412.25 = 180.77/x
  3. Step 3: Cross multiply
    298.85x = 412.25 × 180.77
  4. Step 4: Simplify right side
    298.85x = 74,519.47
  5. Step 5: Solve for x
    x = 74,519.47/298.85
  6. Step 6: Final answer
    x = 249.36

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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.