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Finding the Fourth Proportional to 205.58, 309.08 and 189.38

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Solution

The fourth proportional to 205.58, 309.08 and 189.38 is: 284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.58 : 309.08 = 189.38 : x
  2. Step 2: Convert to fraction form
    205.58/309.08 = 189.38/x
  3. Step 3: Cross multiply
    205.58x = 309.08 × 189.38
  4. Step 4: Simplify right side
    205.58x = 58,533.57
  5. Step 5: Solve for x
    x = 58,533.57/205.58
  6. Step 6: Final answer
    x = 284.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.