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Finding the Fourth Proportional to 256.24, 383.85 and 199.12

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Solution

The fourth proportional to 256.24, 383.85 and 199.12 is: 298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.24 : 383.85 = 199.12 : x
  2. Step 2: Convert to fraction form
    256.24/383.85 = 199.12/x
  3. Step 3: Cross multiply
    256.24x = 383.85 × 199.12
  4. Step 4: Simplify right side
    256.24x = 76,432.21
  5. Step 5: Solve for x
    x = 76,432.21/256.24
  6. Step 6: Final answer
    x = 298.28

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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.