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Finding the Fourth Proportional to 177.67, 245.17 and 144.86

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Solution

The fourth proportional to 177.67, 245.17 and 144.86 is: 199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.67 : 245.17 = 144.86 : x
  2. Step 2: Convert to fraction form
    177.67/245.17 = 144.86/x
  3. Step 3: Cross multiply
    177.67x = 245.17 × 144.86
  4. Step 4: Simplify right side
    177.67x = 35,514.60
  5. Step 5: Solve for x
    x = 35,514.60/177.67
  6. Step 6: Final answer
    x = 199.90

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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.