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Finding the Fourth Proportional to 381.06, 571.50 and 164.52

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Solution

The fourth proportional to 381.06, 571.50 and 164.52 is: 246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.06 : 571.50 = 164.52 : x
  2. Step 2: Convert to fraction form
    381.06/571.50 = 164.52/x
  3. Step 3: Cross multiply
    381.06x = 571.50 × 164.52
  4. Step 4: Simplify right side
    381.06x = 94,023.18
  5. Step 5: Solve for x
    x = 94,023.18/381.06
  6. Step 6: Final answer
    x = 246.74

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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.