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Finding the Fourth Proportional to 255.96, 384.17 and 126.03

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Solution

The fourth proportional to 255.96, 384.17 and 126.03 is: 189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.96 : 384.17 = 126.03 : x
  2. Step 2: Convert to fraction form
    255.96/384.17 = 126.03/x
  3. Step 3: Cross multiply
    255.96x = 384.17 × 126.03
  4. Step 4: Simplify right side
    255.96x = 48,416.31
  5. Step 5: Solve for x
    x = 48,416.31/255.96
  6. Step 6: Final answer
    x = 189.16

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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.