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Finding the Fourth Proportional to 402.37, 603.15 and 196.63

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Solution

The fourth proportional to 402.37, 603.15 and 196.63 is: 294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.37 : 603.15 = 196.63 : x
  2. Step 2: Convert to fraction form
    402.37/603.15 = 196.63/x
  3. Step 3: Cross multiply
    402.37x = 603.15 × 196.63
  4. Step 4: Simplify right side
    402.37x = 118,595.14
  5. Step 5: Solve for x
    x = 118,595.14/402.37
  6. Step 6: Final answer
    x = 294.74

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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.