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Finding the Fourth Proportional to 272.89, 409.12 and 186.01

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Solution

The fourth proportional to 272.89, 409.12 and 186.01 is: 278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.89 : 409.12 = 186.01 : x
  2. Step 2: Convert to fraction form
    272.89/409.12 = 186.01/x
  3. Step 3: Cross multiply
    272.89x = 409.12 × 186.01
  4. Step 4: Simplify right side
    272.89x = 76,100.48
  5. Step 5: Solve for x
    x = 76,100.48/272.89
  6. Step 6: Final answer
    x = 278.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.