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Finding the Fourth Proportional to 205.90, 309.07 and 114.67

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Solution

The fourth proportional to 205.90, 309.07 and 114.67 is: 172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.90 : 309.07 = 114.67 : x
  2. Step 2: Convert to fraction form
    205.90/309.07 = 114.67/x
  3. Step 3: Cross multiply
    205.90x = 309.07 × 114.67
  4. Step 4: Simplify right side
    205.90x = 35,440.94
  5. Step 5: Solve for x
    x = 35,440.94/205.90
  6. Step 6: Final answer
    x = 172.13

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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.