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Finding the Fourth Proportional to 402.23, 602.90 and 196.51

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Solution

The fourth proportional to 402.23, 602.90 and 196.51 is: 294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.23 : 602.90 = 196.51 : x
  2. Step 2: Convert to fraction form
    402.23/602.90 = 196.51/x
  3. Step 3: Cross multiply
    402.23x = 602.90 × 196.51
  4. Step 4: Simplify right side
    402.23x = 118,475.88
  5. Step 5: Solve for x
    x = 118,475.88/402.23
  6. Step 6: Final answer
    x = 294.55

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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.