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Finding the Fourth Proportional to 402.56, 604.02 and 186.20

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Solution

The fourth proportional to 402.56, 604.02 and 186.20 is: 279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.56 : 604.02 = 186.20 : x
  2. Step 2: Convert to fraction form
    402.56/604.02 = 186.20/x
  3. Step 3: Cross multiply
    402.56x = 604.02 × 186.20
  4. Step 4: Simplify right side
    402.56x = 112,468.52
  5. Step 5: Solve for x
    x = 112,468.52/402.56
  6. Step 6: Final answer
    x = 279.38

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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.