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Finding the Fourth Proportional to 200.54, 298.68 and 195.77

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Solution

The fourth proportional to 200.54, 298.68 and 195.77 is: 291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.54 : 298.68 = 195.77 : x
  2. Step 2: Convert to fraction form
    200.54/298.68 = 195.77/x
  3. Step 3: Cross multiply
    200.54x = 298.68 × 195.77
  4. Step 4: Simplify right side
    200.54x = 58,471.60
  5. Step 5: Solve for x
    x = 58,471.60/200.54
  6. Step 6: Final answer
    x = 291.57

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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.