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Finding the Fourth Proportional to 254.13, 350.90 and 180.42

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Solution

The fourth proportional to 254.13, 350.90 and 180.42 is: 249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.13 : 350.90 = 180.42 : x
  2. Step 2: Convert to fraction form
    254.13/350.90 = 180.42/x
  3. Step 3: Cross multiply
    254.13x = 350.90 × 180.42
  4. Step 4: Simplify right side
    254.13x = 63,309.38
  5. Step 5: Solve for x
    x = 63,309.38/254.13
  6. Step 6: Final answer
    x = 249.12

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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.