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Finding the Fourth Proportional to 209.88, 289.34 and 150.86

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Solution

The fourth proportional to 209.88, 289.34 and 150.86 is: 207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.88 : 289.34 = 150.86 : x
  2. Step 2: Convert to fraction form
    209.88/289.34 = 150.86/x
  3. Step 3: Cross multiply
    209.88x = 289.34 × 150.86
  4. Step 4: Simplify right side
    209.88x = 43,647.63
  5. Step 5: Solve for x
    x = 43,647.63/209.88
  6. Step 6: Final answer
    x = 207.96

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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.