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Finding the Fourth Proportional to 171, 254.95 and 160.67

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Solution

The fourth proportional to 171, 254.95 and 160.67 is: 239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171 : 254.95 = 160.67 : x
  2. Step 2: Convert to fraction form
    171/254.95 = 160.67/x
  3. Step 3: Cross multiply
    171x = 254.95 × 160.67
  4. Step 4: Simplify right side
    171x = 40,963.05
  5. Step 5: Solve for x
    x = 40,963.05/171
  6. Step 6: Final answer
    x = 239.55

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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.