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Finding the Fourth Proportional to 331.67, 497.36 and 177.57

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Solution

The fourth proportional to 331.67, 497.36 and 177.57 is: 266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.67 : 497.36 = 177.57 : x
  2. Step 2: Convert to fraction form
    331.67/497.36 = 177.57/x
  3. Step 3: Cross multiply
    331.67x = 497.36 × 177.57
  4. Step 4: Simplify right side
    331.67x = 88,315.33
  5. Step 5: Solve for x
    x = 88,315.33/331.67
  6. Step 6: Final answer
    x = 266.27

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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.