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Finding the Fourth Proportional to 650.65, 975.95 and 163.69

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Solution

The fourth proportional to 650.65, 975.95 and 163.69 is: 245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.65 : 975.95 = 163.69 : x
  2. Step 2: Convert to fraction form
    650.65/975.95 = 163.69/x
  3. Step 3: Cross multiply
    650.65x = 975.95 × 163.69
  4. Step 4: Simplify right side
    650.65x = 159,750.61
  5. Step 5: Solve for x
    x = 159,750.61/650.65
  6. Step 6: Final answer
    x = 245.52

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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.