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Finding the Fourth Proportional to 255.26, 382.76 and 147

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Solution

The fourth proportional to 255.26, 382.76 and 147 is: 220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.26 : 382.76 = 147 : x
  2. Step 2: Convert to fraction form
    255.26/382.76 = 147/x
  3. Step 3: Cross multiply
    255.26x = 382.76 × 147
  4. Step 4: Simplify right side
    255.26x = 56,265.72
  5. Step 5: Solve for x
    x = 56,265.72/255.26
  6. Step 6: Final answer
    x = 220.43

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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.