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Finding the Fourth Proportional to 170.17, 234.69 and 114.84

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Solution

The fourth proportional to 170.17, 234.69 and 114.84 is: 158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.17 : 234.69 = 114.84 : x
  2. Step 2: Convert to fraction form
    170.17/234.69 = 114.84/x
  3. Step 3: Cross multiply
    170.17x = 234.69 × 114.84
  4. Step 4: Simplify right side
    170.17x = 26,951.80
  5. Step 5: Solve for x
    x = 26,951.80/170.17
  6. Step 6: Final answer
    x = 158.38

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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.