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Finding the Fourth Proportional to 171.48, 255.84 and 152.52

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Solution

The fourth proportional to 171.48, 255.84 and 152.52 is: 227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.48 : 255.84 = 152.52 : x
  2. Step 2: Convert to fraction form
    171.48/255.84 = 152.52/x
  3. Step 3: Cross multiply
    171.48x = 255.84 × 152.52
  4. Step 4: Simplify right side
    171.48x = 39,020.72
  5. Step 5: Solve for x
    x = 39,020.72/171.48
  6. Step 6: Final answer
    x = 227.55

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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.