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Finding the Fourth Proportional to 402, 602.61 and 196.77

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Solution

The fourth proportional to 402, 602.61 and 196.77 is: 294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402 : 602.61 = 196.77 : x
  2. Step 2: Convert to fraction form
    402/602.61 = 196.77/x
  3. Step 3: Cross multiply
    402x = 602.61 × 196.77
  4. Step 4: Simplify right side
    402x = 118,575.57
  5. Step 5: Solve for x
    x = 118,575.57/402
  6. Step 6: Final answer
    x = 294.96

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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.