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Finding the Fourth Proportional to 298.71, 412.22 and 180.69

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Solution

The fourth proportional to 298.71, 412.22 and 180.69 is: 249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.71 : 412.22 = 180.69 : x
  2. Step 2: Convert to fraction form
    298.71/412.22 = 180.69/x
  3. Step 3: Cross multiply
    298.71x = 412.22 × 180.69
  4. Step 4: Simplify right side
    298.71x = 74,484.03
  5. Step 5: Solve for x
    x = 74,484.03/298.71
  6. Step 6: Final answer
    x = 249.35

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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.