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Finding the Fourth Proportional to 382.16, 572.96 and 122.01

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Solution

The fourth proportional to 382.16, 572.96 and 122.01 is: 182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.16 : 572.96 = 122.01 : x
  2. Step 2: Convert to fraction form
    382.16/572.96 = 122.01/x
  3. Step 3: Cross multiply
    382.16x = 572.96 × 122.01
  4. Step 4: Simplify right side
    382.16x = 69,906.41
  5. Step 5: Solve for x
    x = 69,906.41/382.16
  6. Step 6: Final answer
    x = 182.92

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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.