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Finding the Fourth Proportional to 205.98, 309.00 and 132.93

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Solution

The fourth proportional to 205.98, 309.00 and 132.93 is: 199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.98 : 309.00 = 132.93 : x
  2. Step 2: Convert to fraction form
    205.98/309.00 = 132.93/x
  3. Step 3: Cross multiply
    205.98x = 309.00 × 132.93
  4. Step 4: Simplify right side
    205.98x = 41,075.87
  5. Step 5: Solve for x
    x = 41,075.87/205.98
  6. Step 6: Final answer
    x = 199.42

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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.