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Finding the Fourth Proportional to 170.94, 237.07 and 162.70

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Solution

The fourth proportional to 170.94, 237.07 and 162.70 is: 225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.94 : 237.07 = 162.70 : x
  2. Step 2: Convert to fraction form
    170.94/237.07 = 162.70/x
  3. Step 3: Cross multiply
    170.94x = 237.07 × 162.70
  4. Step 4: Simplify right side
    170.94x = 38,571.29
  5. Step 5: Solve for x
    x = 38,571.29/170.94
  6. Step 6: Final answer
    x = 225.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.