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Finding the Fourth Proportional to 209.83, 314.80 and 72.88

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Solution

The fourth proportional to 209.83, 314.80 and 72.88 is: 109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.83 : 314.80 = 72.88 : x
  2. Step 2: Convert to fraction form
    209.83/314.80 = 72.88/x
  3. Step 3: Cross multiply
    209.83x = 314.80 × 72.88
  4. Step 4: Simplify right side
    209.83x = 22,942.44
  5. Step 5: Solve for x
    x = 22,942.44/209.83
  6. Step 6: Final answer
    x = 109.34

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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.