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Finding the Fourth Proportional to 410.47, 615.77 and 166.96

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Solution

The fourth proportional to 410.47, 615.77 and 166.96 is: 250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.47 : 615.77 = 166.96 : x
  2. Step 2: Convert to fraction form
    410.47/615.77 = 166.96/x
  3. Step 3: Cross multiply
    410.47x = 615.77 × 166.96
  4. Step 4: Simplify right side
    410.47x = 102,809.52
  5. Step 5: Solve for x
    x = 102,809.52/410.47
  6. Step 6: Final answer
    x = 250.47

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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.