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Finding the Fourth Proportional to 650.53, 975.82 and 163.62

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Solution

The fourth proportional to 650.53, 975.82 and 163.62 is: 245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.53 : 975.82 = 163.62 : x
  2. Step 2: Convert to fraction form
    650.53/975.82 = 163.62/x
  3. Step 3: Cross multiply
    650.53x = 975.82 × 163.62
  4. Step 4: Simplify right side
    650.53x = 159,658.79
  5. Step 5: Solve for x
    x = 159,658.79/650.53
  6. Step 6: Final answer
    x = 245.43

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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.