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Finding the Fourth Proportional to 299.02, 412.56 and 180.96

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Solution

The fourth proportional to 299.02, 412.56 and 180.96 is: 249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.02 : 412.56 = 180.96 : x
  2. Step 2: Convert to fraction form
    299.02/412.56 = 180.96/x
  3. Step 3: Cross multiply
    299.02x = 412.56 × 180.96
  4. Step 4: Simplify right side
    299.02x = 74,656.86
  5. Step 5: Solve for x
    x = 74,656.86/299.02
  6. Step 6: Final answer
    x = 249.67

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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.