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Finding the Fourth Proportional to 410.46, 615.67 and 166.97

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Solution

The fourth proportional to 410.46, 615.67 and 166.97 is: 250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.46 : 615.67 = 166.97 : x
  2. Step 2: Convert to fraction form
    410.46/615.67 = 166.97/x
  3. Step 3: Cross multiply
    410.46x = 615.67 × 166.97
  4. Step 4: Simplify right side
    410.46x = 102,798.42
  5. Step 5: Solve for x
    x = 102,798.42/410.46
  6. Step 6: Final answer
    x = 250.45

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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.