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Finding the Fourth Proportional to 402.25, 603.64 and 185.84

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Solution

The fourth proportional to 402.25, 603.64 and 185.84 is: 278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.25 : 603.64 = 185.84 : x
  2. Step 2: Convert to fraction form
    402.25/603.64 = 185.84/x
  3. Step 3: Cross multiply
    402.25x = 603.64 × 185.84
  4. Step 4: Simplify right side
    402.25x = 112,180.46
  5. Step 5: Solve for x
    x = 112,180.46/402.25
  6. Step 6: Final answer
    x = 278.89

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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.