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Finding the Fourth Proportional to 240.29, 331.35 and 178.24

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Solution

The fourth proportional to 240.29, 331.35 and 178.24 is: 245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.29 : 331.35 = 178.24 : x
  2. Step 2: Convert to fraction form
    240.29/331.35 = 178.24/x
  3. Step 3: Cross multiply
    240.29x = 331.35 × 178.24
  4. Step 4: Simplify right side
    240.29x = 59,059.82
  5. Step 5: Solve for x
    x = 59,059.82/240.29
  6. Step 6: Final answer
    x = 245.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.