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Finding the Fourth Proportional to 299.05, 412.62 and 180.93

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Solution

The fourth proportional to 299.05, 412.62 and 180.93 is: 249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.05 : 412.62 = 180.93 : x
  2. Step 2: Convert to fraction form
    299.05/412.62 = 180.93/x
  3. Step 3: Cross multiply
    299.05x = 412.62 × 180.93
  4. Step 4: Simplify right side
    299.05x = 74,656.21
  5. Step 5: Solve for x
    x = 74,656.21/299.05
  6. Step 6: Final answer
    x = 249.64

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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.