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Finding the Fourth Proportional to 331.24, 497 and 177.34

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Solution

The fourth proportional to 331.24, 497 and 177.34 is: 266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.24 : 497 = 177.34 : x
  2. Step 2: Convert to fraction form
    331.24/497 = 177.34/x
  3. Step 3: Cross multiply
    331.24x = 497 × 177.34
  4. Step 4: Simplify right side
    331.24x = 88,137.98
  5. Step 5: Solve for x
    x = 88,137.98/331.24
  6. Step 6: Final answer
    x = 266.08

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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.