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Finding the Fourth Proportional to 209.27, 313.59 and 106.31

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Solution

The fourth proportional to 209.27, 313.59 and 106.31 is: 159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.27 : 313.59 = 106.31 : x
  2. Step 2: Convert to fraction form
    209.27/313.59 = 106.31/x
  3. Step 3: Cross multiply
    209.27x = 313.59 × 106.31
  4. Step 4: Simplify right side
    209.27x = 33,337.75
  5. Step 5: Solve for x
    x = 33,337.75/209.27
  6. Step 6: Final answer
    x = 159.30

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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.