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Finding the Fourth Proportional to 159.93, 240.82 and 144.45

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Solution

The fourth proportional to 159.93, 240.82 and 144.45 is: 217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.93 : 240.82 = 144.45 : x
  2. Step 2: Convert to fraction form
    159.93/240.82 = 144.45/x
  3. Step 3: Cross multiply
    159.93x = 240.82 × 144.45
  4. Step 4: Simplify right side
    159.93x = 34,786.09
  5. Step 5: Solve for x
    x = 34,786.09/159.93
  6. Step 6: Final answer
    x = 217.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.