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Finding the Fourth Proportional to 255.64, 383.47 and 63.27

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Solution

The fourth proportional to 255.64, 383.47 and 63.27 is: 94.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.64 : 383.47 = 63.27 : x
  2. Step 2: Convert to fraction form
    255.64/383.47 = 63.27/x
  3. Step 3: Cross multiply
    255.64x = 383.47 × 63.27
  4. Step 4: Simplify right side
    255.64x = 24,262.15
  5. Step 5: Solve for x
    x = 24,262.15/255.64
  6. Step 6: Final answer
    x = 94.91

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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.