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Finding the Fourth Proportional to 177.86, 245.14 and 142.83

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Solution

The fourth proportional to 177.86, 245.14 and 142.83 is: 196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.86 : 245.14 = 142.83 : x
  2. Step 2: Convert to fraction form
    177.86/245.14 = 142.83/x
  3. Step 3: Cross multiply
    177.86x = 245.14 × 142.83
  4. Step 4: Simplify right side
    177.86x = 35,012.99
  5. Step 5: Solve for x
    x = 35,012.99/177.86
  6. Step 6: Final answer
    x = 196.85

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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.