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Finding the Fourth Proportional to 183.60, 275.38 and 138.49

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Solution

The fourth proportional to 183.60, 275.38 and 138.49 is: 207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.60 : 275.38 = 138.49 : x
  2. Step 2: Convert to fraction form
    183.60/275.38 = 138.49/x
  3. Step 3: Cross multiply
    183.60x = 275.38 × 138.49
  4. Step 4: Simplify right side
    183.60x = 38,136.34
  5. Step 5: Solve for x
    x = 38,136.34/183.60
  6. Step 6: Final answer
    x = 207.71

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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.