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Finding the Fourth Proportional to 410.37, 615.30 and 166.68

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Solution

The fourth proportional to 410.37, 615.30 and 166.68 is: 249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.37 : 615.30 = 166.68 : x
  2. Step 2: Convert to fraction form
    410.37/615.30 = 166.68/x
  3. Step 3: Cross multiply
    410.37x = 615.30 × 166.68
  4. Step 4: Simplify right side
    410.37x = 102,558.20
  5. Step 5: Solve for x
    x = 102,558.20/410.37
  6. Step 6: Final answer
    x = 249.92

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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.