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Finding the Fourth Proportional to 254.94, 351.75 and 167.70

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Solution

The fourth proportional to 254.94, 351.75 and 167.70 is: 231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.94 : 351.75 = 167.70 : x
  2. Step 2: Convert to fraction form
    254.94/351.75 = 167.70/x
  3. Step 3: Cross multiply
    254.94x = 351.75 × 167.70
  4. Step 4: Simplify right side
    254.94x = 58,988.48
  5. Step 5: Solve for x
    x = 58,988.48/254.94
  6. Step 6: Final answer
    x = 231.38

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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.