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Finding the Fourth Proportional to 388.24, 581.96 and 171.68

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Solution

The fourth proportional to 388.24, 581.96 and 171.68 is: 257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.24 : 581.96 = 171.68 : x
  2. Step 2: Convert to fraction form
    388.24/581.96 = 171.68/x
  3. Step 3: Cross multiply
    388.24x = 581.96 × 171.68
  4. Step 4: Simplify right side
    388.24x = 99,910.89
  5. Step 5: Solve for x
    x = 99,910.89/388.24
  6. Step 6: Final answer
    x = 257.34

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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.