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Finding the Fourth Proportional to 209.84, 313.27 and 177.44

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Solution

The fourth proportional to 209.84, 313.27 and 177.44 is: 264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.84 : 313.27 = 177.44 : x
  2. Step 2: Convert to fraction form
    209.84/313.27 = 177.44/x
  3. Step 3: Cross multiply
    209.84x = 313.27 × 177.44
  4. Step 4: Simplify right side
    209.84x = 55,586.63
  5. Step 5: Solve for x
    x = 55,586.63/209.84
  6. Step 6: Final answer
    x = 264.90

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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.