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Finding the Fourth Proportional to 256.24, 383.85 and 186.97

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Solution

The fourth proportional to 256.24, 383.85 and 186.97 is: 280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.24 : 383.85 = 186.97 : x
  2. Step 2: Convert to fraction form
    256.24/383.85 = 186.97/x
  3. Step 3: Cross multiply
    256.24x = 383.85 × 186.97
  4. Step 4: Simplify right side
    256.24x = 71,768.43
  5. Step 5: Solve for x
    x = 71,768.43/256.24
  6. Step 6: Final answer
    x = 280.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.