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Finding the Fourth Proportional to 205.09, 307.70 and 95.42

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Solution

The fourth proportional to 205.09, 307.70 and 95.42 is: 143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.09 : 307.70 = 95.42 : x
  2. Step 2: Convert to fraction form
    205.09/307.70 = 95.42/x
  3. Step 3: Cross multiply
    205.09x = 307.70 × 95.42
  4. Step 4: Simplify right side
    205.09x = 29,360.73
  5. Step 5: Solve for x
    x = 29,360.73/205.09
  6. Step 6: Final answer
    x = 143.16

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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.