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Finding the Fourth Proportional to 170.62, 235.22 and 137.82

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Solution

The fourth proportional to 170.62, 235.22 and 137.82 is: 190.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.62 : 235.22 = 137.82 : x
  2. Step 2: Convert to fraction form
    170.62/235.22 = 137.82/x
  3. Step 3: Cross multiply
    170.62x = 235.22 × 137.82
  4. Step 4: Simplify right side
    170.62x = 32,418.02
  5. Step 5: Solve for x
    x = 32,418.02/170.62
  6. Step 6: Final answer
    x = 190.00

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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.