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Finding the Fourth Proportional to 254.20, 350.76 and 180.58

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Solution

The fourth proportional to 254.20, 350.76 and 180.58 is: 249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.20 : 350.76 = 180.58 : x
  2. Step 2: Convert to fraction form
    254.20/350.76 = 180.58/x
  3. Step 3: Cross multiply
    254.20x = 350.76 × 180.58
  4. Step 4: Simplify right side
    254.20x = 63,340.24
  5. Step 5: Solve for x
    x = 63,340.24/254.20
  6. Step 6: Final answer
    x = 249.17

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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.