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Finding the Fourth Proportional to 382.27, 573.36 and 176.68

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Solution

The fourth proportional to 382.27, 573.36 and 176.68 is: 265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.27 : 573.36 = 176.68 : x
  2. Step 2: Convert to fraction form
    382.27/573.36 = 176.68/x
  3. Step 3: Cross multiply
    382.27x = 573.36 × 176.68
  4. Step 4: Simplify right side
    382.27x = 101,301.24
  5. Step 5: Solve for x
    x = 101,301.24/382.27
  6. Step 6: Final answer
    x = 265.00

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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.