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Finding the Fourth Proportional to 402.14, 603.37 and 185.82

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Solution

The fourth proportional to 402.14, 603.37 and 185.82 is: 278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.14 : 603.37 = 185.82 : x
  2. Step 2: Convert to fraction form
    402.14/603.37 = 185.82/x
  3. Step 3: Cross multiply
    402.14x = 603.37 × 185.82
  4. Step 4: Simplify right side
    402.14x = 112,118.21
  5. Step 5: Solve for x
    x = 112,118.21/402.14
  6. Step 6: Final answer
    x = 278.80

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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.