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Finding the Fourth Proportional to 184.10, 254.05 and 115.06

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Solution

The fourth proportional to 184.10, 254.05 and 115.06 is: 158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.10 : 254.05 = 115.06 : x
  2. Step 2: Convert to fraction form
    184.10/254.05 = 115.06/x
  3. Step 3: Cross multiply
    184.10x = 254.05 × 115.06
  4. Step 4: Simplify right side
    184.10x = 29,230.99
  5. Step 5: Solve for x
    x = 29,230.99/184.10
  6. Step 6: Final answer
    x = 158.78

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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.