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Finding the Fourth Proportional to 144.84, 215.43 and 140.31

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Solution

The fourth proportional to 144.84, 215.43 and 140.31 is: 208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.84 : 215.43 = 140.31 : x
  2. Step 2: Convert to fraction form
    144.84/215.43 = 140.31/x
  3. Step 3: Cross multiply
    144.84x = 215.43 × 140.31
  4. Step 4: Simplify right side
    144.84x = 30,226.98
  5. Step 5: Solve for x
    x = 30,226.98/144.84
  6. Step 6: Final answer
    x = 208.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.