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Finding the Fourth Proportional to 170.29, 253.67 and 159.94

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Solution

The fourth proportional to 170.29, 253.67 and 159.94 is: 238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.29 : 253.67 = 159.94 : x
  2. Step 2: Convert to fraction form
    170.29/253.67 = 159.94/x
  3. Step 3: Cross multiply
    170.29x = 253.67 × 159.94
  4. Step 4: Simplify right side
    170.29x = 40,571.98
  5. Step 5: Solve for x
    x = 40,571.98/170.29
  6. Step 6: Final answer
    x = 238.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.