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Finding the Fourth Proportional to 171.84, 236.70 and 144.21

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Solution

The fourth proportional to 171.84, 236.70 and 144.21 is: 198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.84 : 236.70 = 144.21 : x
  2. Step 2: Convert to fraction form
    171.84/236.70 = 144.21/x
  3. Step 3: Cross multiply
    171.84x = 236.70 × 144.21
  4. Step 4: Simplify right side
    171.84x = 34,134.51
  5. Step 5: Solve for x
    x = 34,134.51/171.84
  6. Step 6: Final answer
    x = 198.64

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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.