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Finding the Fourth Proportional to 184.24, 255.52 and 177.76

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Solution

The fourth proportional to 184.24, 255.52 and 177.76 is: 246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.24 : 255.52 = 177.76 : x
  2. Step 2: Convert to fraction form
    184.24/255.52 = 177.76/x
  3. Step 3: Cross multiply
    184.24x = 255.52 × 177.76
  4. Step 4: Simplify right side
    184.24x = 45,421.24
  5. Step 5: Solve for x
    x = 45,421.24/184.24
  6. Step 6: Final answer
    x = 246.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.