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Finding the Fourth Proportional to 381.28, 572 and 164.96

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Solution

The fourth proportional to 381.28, 572 and 164.96 is: 247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.28 : 572 = 164.96 : x
  2. Step 2: Convert to fraction form
    381.28/572 = 164.96/x
  3. Step 3: Cross multiply
    381.28x = 572 × 164.96
  4. Step 4: Simplify right side
    381.28x = 94,357.12
  5. Step 5: Solve for x
    x = 94,357.12/381.28
  6. Step 6: Final answer
    x = 247.47

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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.