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Finding the Fourth Proportional to 381.99, 572.86 and 138.46

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Solution

The fourth proportional to 381.99, 572.86 and 138.46 is: 207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.99 : 572.86 = 138.46 : x
  2. Step 2: Convert to fraction form
    381.99/572.86 = 138.46/x
  3. Step 3: Cross multiply
    381.99x = 572.86 × 138.46
  4. Step 4: Simplify right side
    381.99x = 79,317.50
  5. Step 5: Solve for x
    x = 79,317.50/381.99
  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.