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Finding the Fourth Proportional to 209.61, 313.96 and 174.98

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Solution

The fourth proportional to 209.61, 313.96 and 174.98 is: 262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.61 : 313.96 = 174.98 : x
  2. Step 2: Convert to fraction form
    209.61/313.96 = 174.98/x
  3. Step 3: Cross multiply
    209.61x = 313.96 × 174.98
  4. Step 4: Simplify right side
    209.61x = 54,936.72
  5. Step 5: Solve for x
    x = 54,936.72/209.61
  6. Step 6: Final answer
    x = 262.09

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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.