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Finding the Fourth Proportional to 381.60, 572.32 and 165.12

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Solution

The fourth proportional to 381.60, 572.32 and 165.12 is: 247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.60 : 572.32 = 165.12 : x
  2. Step 2: Convert to fraction form
    381.60/572.32 = 165.12/x
  3. Step 3: Cross multiply
    381.60x = 572.32 × 165.12
  4. Step 4: Simplify right side
    381.60x = 94,501.48
  5. Step 5: Solve for x
    x = 94,501.48/381.60
  6. Step 6: Final answer
    x = 247.65

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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.