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Finding the Fourth Proportional to 254.09, 350.53 and 180.33

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Solution

The fourth proportional to 254.09, 350.53 and 180.33 is: 248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.09 : 350.53 = 180.33 : x
  2. Step 2: Convert to fraction form
    254.09/350.53 = 180.33/x
  3. Step 3: Cross multiply
    254.09x = 350.53 × 180.33
  4. Step 4: Simplify right side
    254.09x = 63,209.31
  5. Step 5: Solve for x
    x = 63,209.31/254.09
  6. Step 6: Final answer
    x = 248.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.