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Finding the Fourth Proportional to 254.44, 351.08 and 167.06

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Solution

The fourth proportional to 254.44, 351.08 and 167.06 is: 230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.44 : 351.08 = 167.06 : x
  2. Step 2: Convert to fraction form
    254.44/351.08 = 167.06/x
  3. Step 3: Cross multiply
    254.44x = 351.08 × 167.06
  4. Step 4: Simplify right side
    254.44x = 58,653.03
  5. Step 5: Solve for x
    x = 58,653.03/254.44
  6. Step 6: Final answer
    x = 230.52

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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.