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Finding the Fourth Proportional to 208.71, 311.34 and 177.93

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Solution

The fourth proportional to 208.71, 311.34 and 177.93 is: 265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.71 : 311.34 = 177.93 : x
  2. Step 2: Convert to fraction form
    208.71/311.34 = 177.93/x
  3. Step 3: Cross multiply
    208.71x = 311.34 × 177.93
  4. Step 4: Simplify right side
    208.71x = 55,396.73
  5. Step 5: Solve for x
    x = 55,396.73/208.71
  6. Step 6: Final answer
    x = 265.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.