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Finding the Fourth Proportional to 170.03, 234.16 and 159.05

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Solution

The fourth proportional to 170.03, 234.16 and 159.05 is: 219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.03 : 234.16 = 159.05 : x
  2. Step 2: Convert to fraction form
    170.03/234.16 = 159.05/x
  3. Step 3: Cross multiply
    170.03x = 234.16 × 159.05
  4. Step 4: Simplify right side
    170.03x = 37,241.58
  5. Step 5: Solve for x
    x = 37,241.58/170.03
  6. Step 6: Final answer
    x = 219.04

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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.