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Finding the Fourth Proportional to 471.95, 708.13 and 163.85

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Solution

The fourth proportional to 471.95, 708.13 and 163.85 is: 245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.95 : 708.13 = 163.85 : x
  2. Step 2: Convert to fraction form
    471.95/708.13 = 163.85/x
  3. Step 3: Cross multiply
    471.95x = 708.13 × 163.85
  4. Step 4: Simplify right side
    471.95x = 116,026.42
  5. Step 5: Solve for x
    x = 116,026.42/471.95
  6. Step 6: Final answer
    x = 245.84

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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.