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Finding the Fourth Proportional to 184.05, 254.04 and 114.12

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Solution

The fourth proportional to 184.05, 254.04 and 114.12 is: 157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.05 : 254.04 = 114.12 : x
  2. Step 2: Convert to fraction form
    184.05/254.04 = 114.12/x
  3. Step 3: Cross multiply
    184.05x = 254.04 × 114.12
  4. Step 4: Simplify right side
    184.05x = 28,991.04
  5. Step 5: Solve for x
    x = 28,991.04/184.05
  6. Step 6: Final answer
    x = 157.52

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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.