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Finding the Fourth Proportional to 382.06, 572.92 and 176.58

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Solution

The fourth proportional to 382.06, 572.92 and 176.58 is: 264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.06 : 572.92 = 176.58 : x
  2. Step 2: Convert to fraction form
    382.06/572.92 = 176.58/x
  3. Step 3: Cross multiply
    382.06x = 572.92 × 176.58
  4. Step 4: Simplify right side
    382.06x = 101,166.21
  5. Step 5: Solve for x
    x = 101,166.21/382.06
  6. Step 6: Final answer
    x = 264.79

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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.