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Finding the Fourth Proportional to 637.26, 955.83 and 175.05

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Solution

The fourth proportional to 637.26, 955.83 and 175.05 is: 262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.26 : 955.83 = 175.05 : x
  2. Step 2: Convert to fraction form
    637.26/955.83 = 175.05/x
  3. Step 3: Cross multiply
    637.26x = 955.83 × 175.05
  4. Step 4: Simplify right side
    637.26x = 167,318.04
  5. Step 5: Solve for x
    x = 167,318.04/637.26
  6. Step 6: Final answer
    x = 262.56

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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.