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Finding the Fourth Proportional to 407.13, 610.80 and 163.82

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Solution

The fourth proportional to 407.13, 610.80 and 163.82 is: 245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.13 : 610.80 = 163.82 : x
  2. Step 2: Convert to fraction form
    407.13/610.80 = 163.82/x
  3. Step 3: Cross multiply
    407.13x = 610.80 × 163.82
  4. Step 4: Simplify right side
    407.13x = 100,061.26
  5. Step 5: Solve for x
    x = 100,061.26/407.13
  6. Step 6: Final answer
    x = 245.77

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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.