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Finding the Fourth Proportional to 254.55, 350.78 and 180.66

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Solution

The fourth proportional to 254.55, 350.78 and 180.66 is: 248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.55 : 350.78 = 180.66 : x
  2. Step 2: Convert to fraction form
    254.55/350.78 = 180.66/x
  3. Step 3: Cross multiply
    254.55x = 350.78 × 180.66
  4. Step 4: Simplify right side
    254.55x = 63,371.01
  5. Step 5: Solve for x
    x = 63,371.01/254.55
  6. Step 6: Final answer
    x = 248.95

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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.