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Finding the Fourth Proportional to 410.92, 615.96 and 164.03

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Solution

The fourth proportional to 410.92, 615.96 and 164.03 is: 245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.92 : 615.96 = 164.03 : x
  2. Step 2: Convert to fraction form
    410.92/615.96 = 164.03/x
  3. Step 3: Cross multiply
    410.92x = 615.96 × 164.03
  4. Step 4: Simplify right side
    410.92x = 101,037.37
  5. Step 5: Solve for x
    x = 101,037.37/410.92
  6. Step 6: Final answer
    x = 245.88

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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.