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Finding the Fourth Proportional to 144.40, 198.05 and 136.56

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Solution

The fourth proportional to 144.40, 198.05 and 136.56 is: 187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.40 : 198.05 = 136.56 : x
  2. Step 2: Convert to fraction form
    144.40/198.05 = 136.56/x
  3. Step 3: Cross multiply
    144.40x = 198.05 × 136.56
  4. Step 4: Simplify right side
    144.40x = 27,045.71
  5. Step 5: Solve for x
    x = 27,045.71/144.40
  6. Step 6: Final answer
    x = 187.30

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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.