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Finding the Fourth Proportional to 381.36, 572.04 and 164.81

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Solution

The fourth proportional to 381.36, 572.04 and 164.81 is: 247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.36 : 572.04 = 164.81 : x
  2. Step 2: Convert to fraction form
    381.36/572.04 = 164.81/x
  3. Step 3: Cross multiply
    381.36x = 572.04 × 164.81
  4. Step 4: Simplify right side
    381.36x = 94,275.05
  5. Step 5: Solve for x
    x = 94,275.05/381.36
  6. Step 6: Final answer
    x = 247.21

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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.