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Finding the Fourth Proportional to 410.29, 615.43 and 166.82

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Solution

The fourth proportional to 410.29, 615.43 and 166.82 is: 250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.29 : 615.43 = 166.82 : x
  2. Step 2: Convert to fraction form
    410.29/615.43 = 166.82/x
  3. Step 3: Cross multiply
    410.29x = 615.43 × 166.82
  4. Step 4: Simplify right side
    410.29x = 102,666.63
  5. Step 5: Solve for x
    x = 102,666.63/410.29
  6. Step 6: Final answer
    x = 250.23

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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.