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Finding the Fourth Proportional to 199.47, 300.29 and 179.63

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Solution

The fourth proportional to 199.47, 300.29 and 179.63 is: 270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.47 : 300.29 = 179.63 : x
  2. Step 2: Convert to fraction form
    199.47/300.29 = 179.63/x
  3. Step 3: Cross multiply
    199.47x = 300.29 × 179.63
  4. Step 4: Simplify right side
    199.47x = 53,938.69
  5. Step 5: Solve for x
    x = 53,938.69/199.47
  6. Step 6: Final answer
    x = 270.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.