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Finding the Fourth Proportional to 410.29, 615.68 and 166.80

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Solution

The fourth proportional to 410.29, 615.68 and 166.80 is: 250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.29 : 615.68 = 166.80 : x
  2. Step 2: Convert to fraction form
    410.29/615.68 = 166.80/x
  3. Step 3: Cross multiply
    410.29x = 615.68 × 166.80
  4. Step 4: Simplify right side
    410.29x = 102,695.42
  5. Step 5: Solve for x
    x = 102,695.42/410.29
  6. Step 6: Final answer
    x = 250.30

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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.