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Finding the Fourth Proportional to 255.14, 352.10 and 138.71

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Solution

The fourth proportional to 255.14, 352.10 and 138.71 is: 191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.14 : 352.10 = 138.71 : x
  2. Step 2: Convert to fraction form
    255.14/352.10 = 138.71/x
  3. Step 3: Cross multiply
    255.14x = 352.10 × 138.71
  4. Step 4: Simplify right side
    255.14x = 48,837.34
  5. Step 5: Solve for x
    x = 48,837.34/255.14
  6. Step 6: Final answer
    x = 191.41

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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.