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Finding the Fourth Proportional to 339.88, 509.83 and 177.88

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Solution

The fourth proportional to 339.88, 509.83 and 177.88 is: 266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.88 : 509.83 = 177.88 : x
  2. Step 2: Convert to fraction form
    339.88/509.83 = 177.88/x
  3. Step 3: Cross multiply
    339.88x = 509.83 × 177.88
  4. Step 4: Simplify right side
    339.88x = 90,688.56
  5. Step 5: Solve for x
    x = 90,688.56/339.88
  6. Step 6: Final answer
    x = 266.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.