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Finding the Fourth Proportional to 410.67, 616 and 166.93

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Solution

The fourth proportional to 410.67, 616 and 166.93 is: 250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.67 : 616 = 166.93 : x
  2. Step 2: Convert to fraction form
    410.67/616 = 166.93/x
  3. Step 3: Cross multiply
    410.67x = 616 × 166.93
  4. Step 4: Simplify right side
    410.67x = 102,825.80
  5. Step 5: Solve for x
    x = 102,825.80/410.67
  6. Step 6: Final answer
    x = 250.39

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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.