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Finding the Fourth Proportional to 388.05, 581.82 and 165.42

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Solution

The fourth proportional to 388.05, 581.82 and 165.42 is: 248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.05 : 581.82 = 165.42 : x
  2. Step 2: Convert to fraction form
    388.05/581.82 = 165.42/x
  3. Step 3: Cross multiply
    388.05x = 581.82 × 165.42
  4. Step 4: Simplify right side
    388.05x = 96,244.66
  5. Step 5: Solve for x
    x = 96,244.66/388.05
  6. Step 6: Final answer
    x = 248.02

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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.