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Finding the Fourth Proportional to 184.21, 254.28 and 114.33

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Solution

The fourth proportional to 184.21, 254.28 and 114.33 is: 157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.21 : 254.28 = 114.33 : x
  2. Step 2: Convert to fraction form
    184.21/254.28 = 114.33/x
  3. Step 3: Cross multiply
    184.21x = 254.28 × 114.33
  4. Step 4: Simplify right side
    184.21x = 29,070.28
  5. Step 5: Solve for x
    x = 29,070.28/184.21
  6. Step 6: Final answer
    x = 157.81

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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.