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Finding the Fourth Proportional to 381.66, 572.06 and 165.12

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Solution

The fourth proportional to 381.66, 572.06 and 165.12 is: 247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.66 : 572.06 = 165.12 : x
  2. Step 2: Convert to fraction form
    381.66/572.06 = 165.12/x
  3. Step 3: Cross multiply
    381.66x = 572.06 × 165.12
  4. Step 4: Simplify right side
    381.66x = 94,458.55
  5. Step 5: Solve for x
    x = 94,458.55/381.66
  6. Step 6: Final answer
    x = 247.49

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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.