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Finding the Fourth Proportional to 171.02, 255.20 and 152.61

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Solution

The fourth proportional to 171.02, 255.20 and 152.61 is: 227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.02 : 255.20 = 152.61 : x
  2. Step 2: Convert to fraction form
    171.02/255.20 = 152.61/x
  3. Step 3: Cross multiply
    171.02x = 255.20 × 152.61
  4. Step 4: Simplify right side
    171.02x = 38,945.79
  5. Step 5: Solve for x
    x = 38,945.79/171.02
  6. Step 6: Final answer
    x = 227.73

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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.