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Finding the Fourth Proportional to 177.72, 245.09 and 142.68

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Solution

The fourth proportional to 177.72, 245.09 and 142.68 is: 196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.72 : 245.09 = 142.68 : x
  2. Step 2: Convert to fraction form
    177.72/245.09 = 142.68/x
  3. Step 3: Cross multiply
    177.72x = 245.09 × 142.68
  4. Step 4: Simplify right side
    177.72x = 34,969.44
  5. Step 5: Solve for x
    x = 34,969.44/177.72
  6. Step 6: Final answer
    x = 196.77

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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.