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Finding the Fourth Proportional to 255.64, 382.86 and 125.23

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Solution

The fourth proportional to 255.64, 382.86 and 125.23 is: 187.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.64 : 382.86 = 125.23 : x
  2. Step 2: Convert to fraction form
    255.64/382.86 = 125.23/x
  3. Step 3: Cross multiply
    255.64x = 382.86 × 125.23
  4. Step 4: Simplify right side
    255.64x = 47,943.97
  5. Step 5: Solve for x
    x = 47,943.97/255.64
  6. Step 6: Final answer
    x = 187.55

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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.