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Finding the Fourth Proportional to 199.09, 297.09 and 178.66

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Solution

The fourth proportional to 199.09, 297.09 and 178.66 is: 266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.09 : 297.09 = 178.66 : x
  2. Step 2: Convert to fraction form
    199.09/297.09 = 178.66/x
  3. Step 3: Cross multiply
    199.09x = 297.09 × 178.66
  4. Step 4: Simplify right side
    199.09x = 53,078.10
  5. Step 5: Solve for x
    x = 53,078.10/199.09
  6. Step 6: Final answer
    x = 266.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.