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Finding the Fourth Proportional to 255.72, 383.43 and 168.96

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Solution

The fourth proportional to 255.72, 383.43 and 168.96 is: 253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.72 : 383.43 = 168.96 : x
  2. Step 2: Convert to fraction form
    255.72/383.43 = 168.96/x
  3. Step 3: Cross multiply
    255.72x = 383.43 × 168.96
  4. Step 4: Simplify right side
    255.72x = 64,784.33
  5. Step 5: Solve for x
    x = 64,784.33/255.72
  6. Step 6: Final answer
    x = 253.34

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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.