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Finding the Fourth Proportional to 255.00, 382.50 and 72.37

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Solution

The fourth proportional to 255.00, 382.50 and 72.37 is: 108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.00 : 382.50 = 72.37 : x
  2. Step 2: Convert to fraction form
    255.00/382.50 = 72.37/x
  3. Step 3: Cross multiply
    255.00x = 382.50 × 72.37
  4. Step 4: Simplify right side
    255.00x = 27,680.72
  5. Step 5: Solve for x
    x = 27,680.72/255.00
  6. Step 6: Final answer
    x = 108.55

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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.