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Finding the Fourth Proportional to 255.31, 352.33 and 138.88

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Solution

The fourth proportional to 255.31, 352.33 and 138.88 is: 191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.31 : 352.33 = 138.88 : x
  2. Step 2: Convert to fraction form
    255.31/352.33 = 138.88/x
  3. Step 3: Cross multiply
    255.31x = 352.33 × 138.88
  4. Step 4: Simplify right side
    255.31x = 48,931.59
  5. Step 5: Solve for x
    x = 48,931.59/255.31
  6. Step 6: Final answer
    x = 191.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.