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Finding the Fourth Proportional to 184.72, 254.80 and 113.80

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Solution

The fourth proportional to 184.72, 254.80 and 113.80 is: 156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.72 : 254.80 = 113.80 : x
  2. Step 2: Convert to fraction form
    184.72/254.80 = 113.80/x
  3. Step 3: Cross multiply
    184.72x = 254.80 × 113.80
  4. Step 4: Simplify right side
    184.72x = 28,996.24
  5. Step 5: Solve for x
    x = 28,996.24/184.72
  6. Step 6: Final answer
    x = 156.97

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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.