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Finding the Fourth Proportional to 170.64, 253.92 and 163.68

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Solution

The fourth proportional to 170.64, 253.92 and 163.68 is: 243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.64 : 253.92 = 163.68 : x
  2. Step 2: Convert to fraction form
    170.64/253.92 = 163.68/x
  3. Step 3: Cross multiply
    170.64x = 253.92 × 163.68
  4. Step 4: Simplify right side
    170.64x = 41,561.63
  5. Step 5: Solve for x
    x = 41,561.63/170.64
  6. Step 6: Final answer
    x = 243.56

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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.