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Finding the Fourth Proportional to 382.24, 572.82 and 176.68

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Solution

The fourth proportional to 382.24, 572.82 and 176.68 is: 264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.24 : 572.82 = 176.68 : x
  2. Step 2: Convert to fraction form
    382.24/572.82 = 176.68/x
  3. Step 3: Cross multiply
    382.24x = 572.82 × 176.68
  4. Step 4: Simplify right side
    382.24x = 101,205.84
  5. Step 5: Solve for x
    x = 101,205.84/382.24
  6. Step 6: Final answer
    x = 264.77

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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.