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Finding the Fourth Proportional to 410.27, 615.59 and 166.97

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Solution

The fourth proportional to 410.27, 615.59 and 166.97 is: 250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.27 : 615.59 = 166.97 : x
  2. Step 2: Convert to fraction form
    410.27/615.59 = 166.97/x
  3. Step 3: Cross multiply
    410.27x = 615.59 × 166.97
  4. Step 4: Simplify right side
    410.27x = 102,784.23
  5. Step 5: Solve for x
    x = 102,784.23/410.27
  6. Step 6: Final answer
    x = 250.53

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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.