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Finding the Fourth Proportional to 636.94, 955.41 and 174.77

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Solution

The fourth proportional to 636.94, 955.41 and 174.77 is: 262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.94 : 955.41 = 174.77 : x
  2. Step 2: Convert to fraction form
    636.94/955.41 = 174.77/x
  3. Step 3: Cross multiply
    636.94x = 955.41 × 174.77
  4. Step 4: Simplify right side
    636.94x = 166,977.01
  5. Step 5: Solve for x
    x = 166,977.01/636.94
  6. Step 6: Final answer
    x = 262.16

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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.