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Finding the Fourth Proportional to 202.84, 305.78 and 194.60

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Solution

The fourth proportional to 202.84, 305.78 and 194.60 is: 293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.84 : 305.78 = 194.60 : x
  2. Step 2: Convert to fraction form
    202.84/305.78 = 194.60/x
  3. Step 3: Cross multiply
    202.84x = 305.78 × 194.60
  4. Step 4: Simplify right side
    202.84x = 59,504.58
  5. Step 5: Solve for x
    x = 59,504.58/202.84
  6. Step 6: Final answer
    x = 293.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.