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Finding the Fourth Proportional to 382.00, 572.74 and 138.49

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Solution

The fourth proportional to 382.00, 572.74 and 138.49 is: 207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.00 : 572.74 = 138.49 : x
  2. Step 2: Convert to fraction form
    382.00/572.74 = 138.49/x
  3. Step 3: Cross multiply
    382.00x = 572.74 × 138.49
  4. Step 4: Simplify right side
    382.00x = 79,318.07
  5. Step 5: Solve for x
    x = 79,318.07/382.00
  6. Step 6: Final answer
    x = 207.64

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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.