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Finding the Fourth Proportional to 382.38, 572.81 and 176.67

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Solution

The fourth proportional to 382.38, 572.81 and 176.67 is: 264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.38 : 572.81 = 176.67 : x
  2. Step 2: Convert to fraction form
    382.38/572.81 = 176.67/x
  3. Step 3: Cross multiply
    382.38x = 572.81 × 176.67
  4. Step 4: Simplify right side
    382.38x = 101,197.46
  5. Step 5: Solve for x
    x = 101,197.46/382.38
  6. Step 6: Final answer
    x = 264.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.