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Finding the Fourth Proportional to 180.22, 248.85 and 128.50

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Solution

The fourth proportional to 180.22, 248.85 and 128.50 is: 177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.22 : 248.85 = 128.50 : x
  2. Step 2: Convert to fraction form
    180.22/248.85 = 128.50/x
  3. Step 3: Cross multiply
    180.22x = 248.85 × 128.50
  4. Step 4: Simplify right side
    180.22x = 31,977.23
  5. Step 5: Solve for x
    x = 31,977.23/180.22
  6. Step 6: Final answer
    x = 177.43

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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.