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Finding the Fourth Proportional to 254.58, 350.40 and 180.77

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Solution

The fourth proportional to 254.58, 350.40 and 180.77 is: 248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.58 : 350.40 = 180.77 : x
  2. Step 2: Convert to fraction form
    254.58/350.40 = 180.77/x
  3. Step 3: Cross multiply
    254.58x = 350.40 × 180.77
  4. Step 4: Simplify right side
    254.58x = 63,340.06
  5. Step 5: Solve for x
    x = 63,340.06/254.58
  6. Step 6: Final answer
    x = 248.80

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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.