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Finding the Fourth Proportional to 254.10, 350.82 and 184.39

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Solution

The fourth proportional to 254.10, 350.82 and 184.39 is: 254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.10 : 350.82 = 184.39 : x
  2. Step 2: Convert to fraction form
    254.10/350.82 = 184.39/x
  3. Step 3: Cross multiply
    254.10x = 350.82 × 184.39
  4. Step 4: Simplify right side
    254.10x = 64,687.70
  5. Step 5: Solve for x
    x = 64,687.70/254.10
  6. Step 6: Final answer
    x = 254.58

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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.