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Finding the Fourth Proportional to 255.66, 383.46 and 169.52

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Solution

The fourth proportional to 255.66, 383.46 and 169.52 is: 254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.66 : 383.46 = 169.52 : x
  2. Step 2: Convert to fraction form
    255.66/383.46 = 169.52/x
  3. Step 3: Cross multiply
    255.66x = 383.46 × 169.52
  4. Step 4: Simplify right side
    255.66x = 65,004.14
  5. Step 5: Solve for x
    x = 65,004.14/255.66
  6. Step 6: Final answer
    x = 254.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.