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Finding the Fourth Proportional to 205.98, 309.02 and 61.71

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Solution

The fourth proportional to 205.98, 309.02 and 61.71 is: 92.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.98 : 309.02 = 61.71 : x
  2. Step 2: Convert to fraction form
    205.98/309.02 = 61.71/x
  3. Step 3: Cross multiply
    205.98x = 309.02 × 61.71
  4. Step 4: Simplify right side
    205.98x = 19,069.32
  5. Step 5: Solve for x
    x = 19,069.32/205.98
  6. Step 6: Final answer
    x = 92.58

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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.