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Finding the Fourth Proportional to 170.16, 234.60 and 146.82

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Solution

The fourth proportional to 170.16, 234.60 and 146.82 is: 202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.16 : 234.60 = 146.82 : x
  2. Step 2: Convert to fraction form
    170.16/234.60 = 146.82/x
  3. Step 3: Cross multiply
    170.16x = 234.60 × 146.82
  4. Step 4: Simplify right side
    170.16x = 34,443.97
  5. Step 5: Solve for x
    x = 34,443.97/170.16
  6. Step 6: Final answer
    x = 202.42

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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.