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Finding the Fourth Proportional to 183.74, 253.70 and 177.92

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Solution

The fourth proportional to 183.74, 253.70 and 177.92 is: 245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.74 : 253.70 = 177.92 : x
  2. Step 2: Convert to fraction form
    183.74/253.70 = 177.92/x
  3. Step 3: Cross multiply
    183.74x = 253.70 × 177.92
  4. Step 4: Simplify right side
    183.74x = 45,138.30
  5. Step 5: Solve for x
    x = 45,138.30/183.74
  6. Step 6: Final answer
    x = 245.66

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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.