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Finding the Fourth Proportional to 255.23, 382.77 and 138.08

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Solution

The fourth proportional to 255.23, 382.77 and 138.08 is: 207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.23 : 382.77 = 138.08 : x
  2. Step 2: Convert to fraction form
    255.23/382.77 = 138.08/x
  3. Step 3: Cross multiply
    255.23x = 382.77 × 138.08
  4. Step 4: Simplify right side
    255.23x = 52,852.88
  5. Step 5: Solve for x
    x = 52,852.88/255.23
  6. Step 6: Final answer
    x = 207.08

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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.