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Finding the Fourth Proportional to 209.93, 315.15 and 133.21

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Solution

The fourth proportional to 209.93, 315.15 and 133.21 is: 199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.93 : 315.15 = 133.21 : x
  2. Step 2: Convert to fraction form
    209.93/315.15 = 133.21/x
  3. Step 3: Cross multiply
    209.93x = 315.15 × 133.21
  4. Step 4: Simplify right side
    209.93x = 41,981.46
  5. Step 5: Solve for x
    x = 41,981.46/209.93
  6. Step 6: Final answer
    x = 199.98

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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.