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Finding the Fourth Proportional to 183.59, 253.50 and 137.49

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Solution

The fourth proportional to 183.59, 253.50 and 137.49 is: 189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.59 : 253.50 = 137.49 : x
  2. Step 2: Convert to fraction form
    183.59/253.50 = 137.49/x
  3. Step 3: Cross multiply
    183.59x = 253.50 × 137.49
  4. Step 4: Simplify right side
    183.59x = 34,851.76
  5. Step 5: Solve for x
    x = 34,851.76/183.59
  6. Step 6: Final answer
    x = 189.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.