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Finding the Fourth Proportional to 254.53, 351.34 and 154.90

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Solution

The fourth proportional to 254.53, 351.34 and 154.90 is: 213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.53 : 351.34 = 154.90 : x
  2. Step 2: Convert to fraction form
    254.53/351.34 = 154.90/x
  3. Step 3: Cross multiply
    254.53x = 351.34 × 154.90
  4. Step 4: Simplify right side
    254.53x = 54,421.29
  5. Step 5: Solve for x
    x = 54,421.29/254.53
  6. Step 6: Final answer
    x = 213.81

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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.