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Finding the Fourth Proportional to 177.78, 245.26 and 142.75

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Solution

The fourth proportional to 177.78, 245.26 and 142.75 is: 196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.78 : 245.26 = 142.75 : x
  2. Step 2: Convert to fraction form
    177.78/245.26 = 142.75/x
  3. Step 3: Cross multiply
    177.78x = 245.26 × 142.75
  4. Step 4: Simplify right side
    177.78x = 35,010.87
  5. Step 5: Solve for x
    x = 35,010.87/177.78
  6. Step 6: Final answer
    x = 196.93

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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.