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Finding the Fourth Proportional to 144.89, 198.88 and 129.00

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Solution

The fourth proportional to 144.89, 198.88 and 129.00 is: 177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.89 : 198.88 = 129.00 : x
  2. Step 2: Convert to fraction form
    144.89/198.88 = 129.00/x
  3. Step 3: Cross multiply
    144.89x = 198.88 × 129.00
  4. Step 4: Simplify right side
    144.89x = 25,655.94
  5. Step 5: Solve for x
    x = 25,655.94/144.89
  6. Step 6: Final answer
    x = 177.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.