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Finding the Fourth Proportional to 637.98, 956.67 and 205.02

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Solution

The fourth proportional to 637.98, 956.67 and 205.02 is: 307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.98 : 956.67 = 205.02 : x
  2. Step 2: Convert to fraction form
    637.98/956.67 = 205.02/x
  3. Step 3: Cross multiply
    637.98x = 956.67 × 205.02
  4. Step 4: Simplify right side
    637.98x = 196,136.48
  5. Step 5: Solve for x
    x = 196,136.48/637.98
  6. Step 6: Final answer
    x = 307.43

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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.