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Finding the Fourth Proportional to 254.34, 350.97 and 154.74

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Solution

The fourth proportional to 254.34, 350.97 and 154.74 is: 213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.34 : 350.97 = 154.74 : x
  2. Step 2: Convert to fraction form
    254.34/350.97 = 154.74/x
  3. Step 3: Cross multiply
    254.34x = 350.97 × 154.74
  4. Step 4: Simplify right side
    254.34x = 54,309.10
  5. Step 5: Solve for x
    x = 54,309.10/254.34
  6. Step 6: Final answer
    x = 213.53

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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.