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Finding the Fourth Proportional to 170.96, 256.77 and 163.28

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Solution

The fourth proportional to 170.96, 256.77 and 163.28 is: 245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.96 : 256.77 = 163.28 : x
  2. Step 2: Convert to fraction form
    170.96/256.77 = 163.28/x
  3. Step 3: Cross multiply
    170.96x = 256.77 × 163.28
  4. Step 4: Simplify right side
    170.96x = 41,925.41
  5. Step 5: Solve for x
    x = 41,925.41/170.96
  6. Step 6: Final answer
    x = 245.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.