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Finding the Fourth Proportional to 170.48, 254.02 and 163.52

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Solution

The fourth proportional to 170.48, 254.02 and 163.52 is: 243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.48 : 254.02 = 163.52 : x
  2. Step 2: Convert to fraction form
    170.48/254.02 = 163.52/x
  3. Step 3: Cross multiply
    170.48x = 254.02 × 163.52
  4. Step 4: Simplify right side
    170.48x = 41,537.35
  5. Step 5: Solve for x
    x = 41,537.35/170.48
  6. Step 6: Final answer
    x = 243.65

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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.