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Finding the Fourth Proportional to 170.88, 254.76 and 160.55

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Solution

The fourth proportional to 170.88, 254.76 and 160.55 is: 239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.88 : 254.76 = 160.55 : x
  2. Step 2: Convert to fraction form
    170.88/254.76 = 160.55/x
  3. Step 3: Cross multiply
    170.88x = 254.76 × 160.55
  4. Step 4: Simplify right side
    170.88x = 40,901.72
  5. Step 5: Solve for x
    x = 40,901.72/170.88
  6. Step 6: Final answer
    x = 239.36

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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.