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Finding the Fourth Proportional to 170.97, 235.80 and 149.10

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Solution

The fourth proportional to 170.97, 235.80 and 149.10 is: 205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.97 : 235.80 = 149.10 : x
  2. Step 2: Convert to fraction form
    170.97/235.80 = 149.10/x
  3. Step 3: Cross multiply
    170.97x = 235.80 × 149.10
  4. Step 4: Simplify right side
    170.97x = 35,157.78
  5. Step 5: Solve for x
    x = 35,157.78/170.97
  6. Step 6: Final answer
    x = 205.64

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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.