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Finding the Fourth Proportional to 209.65, 314.47 and 72.66

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Solution

The fourth proportional to 209.65, 314.47 and 72.66 is: 108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.65 : 314.47 = 72.66 : x
  2. Step 2: Convert to fraction form
    209.65/314.47 = 72.66/x
  3. Step 3: Cross multiply
    209.65x = 314.47 × 72.66
  4. Step 4: Simplify right side
    209.65x = 22,849.39
  5. Step 5: Solve for x
    x = 22,849.39/209.65
  6. Step 6: Final answer
    x = 108.99

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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.