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Finding the Fourth Proportional to 255.75, 383.28 and 125.64

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Solution

The fourth proportional to 255.75, 383.28 and 125.64 is: 188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.75 : 383.28 = 125.64 : x
  2. Step 2: Convert to fraction form
    255.75/383.28 = 125.64/x
  3. Step 3: Cross multiply
    255.75x = 383.28 × 125.64
  4. Step 4: Simplify right side
    255.75x = 48,155.30
  5. Step 5: Solve for x
    x = 48,155.30/255.75
  6. Step 6: Final answer
    x = 188.29

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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.