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Finding the Fourth Proportional to 180.21, 248.64 and 102.59

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Solution

The fourth proportional to 180.21, 248.64 and 102.59 is: 141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.21 : 248.64 = 102.59 : x
  2. Step 2: Convert to fraction form
    180.21/248.64 = 102.59/x
  3. Step 3: Cross multiply
    180.21x = 248.64 × 102.59
  4. Step 4: Simplify right side
    180.21x = 25,506.73
  5. Step 5: Solve for x
    x = 25,506.73/180.21
  6. Step 6: Final answer
    x = 141.54

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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.