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Finding the Fourth Proportional to 205.88, 309.02 and 114.66

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Solution

The fourth proportional to 205.88, 309.02 and 114.66 is: 172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 309.02 = 114.66 : x
  2. Step 2: Convert to fraction form
    205.88/309.02 = 114.66/x
  3. Step 3: Cross multiply
    205.88x = 309.02 × 114.66
  4. Step 4: Simplify right side
    205.88x = 35,431.66
  5. Step 5: Solve for x
    x = 35,431.66/205.88
  6. Step 6: Final answer
    x = 172.10

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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.