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Finding the Fourth Proportional to 170.43, 234.85 and 144.51

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Solution

The fourth proportional to 170.43, 234.85 and 144.51 is: 199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.43 : 234.85 = 144.51 : x
  2. Step 2: Convert to fraction form
    170.43/234.85 = 144.51/x
  3. Step 3: Cross multiply
    170.43x = 234.85 × 144.51
  4. Step 4: Simplify right side
    170.43x = 33,938.17
  5. Step 5: Solve for x
    x = 33,938.17/170.43
  6. Step 6: Final answer
    x = 199.13

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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.