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Finding the Fourth Proportional to 381.54, 572.31 and 165.06

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Solution

The fourth proportional to 381.54, 572.31 and 165.06 is: 247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.54 : 572.31 = 165.06 : x
  2. Step 2: Convert to fraction form
    381.54/572.31 = 165.06/x
  3. Step 3: Cross multiply
    381.54x = 572.31 × 165.06
  4. Step 4: Simplify right side
    381.54x = 94,465.49
  5. Step 5: Solve for x
    x = 94,465.49/381.54
  6. Step 6: Final answer
    x = 247.59

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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.