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Finding the Fourth Proportional to 209.69, 314.57 and 72.82

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Solution

The fourth proportional to 209.69, 314.57 and 72.82 is: 109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.69 : 314.57 = 72.82 : x
  2. Step 2: Convert to fraction form
    209.69/314.57 = 72.82/x
  3. Step 3: Cross multiply
    209.69x = 314.57 × 72.82
  4. Step 4: Simplify right side
    209.69x = 22,905.38
  5. Step 5: Solve for x
    x = 22,905.38/209.69
  6. Step 6: Final answer
    x = 109.24

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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.